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# Quick Picks can't match the power of Self Picks

Topic closed. 97 replies. Last post 13 years ago by JADELottery.

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Zimbabwe
Member #21
December 7, 2001
4530 Posts
Offline

I get a big laugh when I see someone post about how Quick Picks are the greatest. Then they'll post some winning numbers and prizes with a "Look! See!... See! Look!...  Loooook...seeeee." attitude. Well, there are a few problems with comparing Quick Picks to Self Picks (a.k.a. Personal Picks). It has to do with proportionality of work being done. From Powerball's Frequently Asked Questions page, under the heading WHICH HAS THE BETTER CHANCE OF WINNING: COMPUTER PICKS OR PLAYER PICKS? They say, "About 70% to 80% of purchases are computer picks." Computer picks are also know as Quick Picks. This is a fairly good representation of the population as a whole because it's based on actual data obtained on a Nation wide basis without regard to detailed demographics of the purchaser. 70% to 80% is the percentage of the total number of purchased plays, n. n can be any value for any given draw. p, the percentage, is the proportion of n purchases that are Quick Picks. p is represented as a value less than or equal to 1 and greater than or equal to 0, i. e. ( 70% = .70 and 80% = .80). Multiplying p times n gives the number of Quick Pick purchases for that draw, Qn. The number of Self Picked purchases is just the difference between n and Qn, Sn = n - Qn. During any draw there are Quick Pick wins, X, and Self Pick wins, Y. In order to offset the disproportionate number Quick Pick purchases to Self Pick purchases, we need to setup an equation of proportionality that states as Y is to B is the same as X is to A. This satisfies a lead in partial statement of, "All things being equal..." The equation of proportionality is then, Y is to Sn is the same as X is to Qn becomes (Y / Sn) = (X / Qn). This allows for a more equal comparison of which type of play has the advantage. We can solve for Y to find by proportion what a Quick Pick equals in terms of a Self Picked purchases based on the approximate percentage of 70% to 80%. As you'll see, the number of purchases becomes immaterial because that value factors out of the final equation.

n - total number of purchases

p - percentage of Quick Pick purchases

Qn = p · n , Qn - number of Quick Pick purchases

Sn = n - Qn , Sn - number of Self Pick purchases

X - Quick Pick wins

Y - Self Pick wins

(Y / Sn) = (X / Qn), equation of proportionality

Equation of Proportionality Solved for Y

(Y / Sn) = (X / Qn)

(Y / (n - Qn)) = (X / Qn)

(Y / (n - p · n)) = (X / (p · n))

(Y / (n (1 - p))) = (X / (p · n))

Y = ((n (1 - p)) / (p · n)) · X

Y = ((1 - p) / p) · X

Y = ((1 / p) - 1) · X

If we set X = 1, then we can see what one Quick Pick win equals in terms of a Self Pick win.

Y = ((1 / p) - 1) · 1

Y = (1 / p) - 1

Below is a table that shows what a Quick Pick equals for a few different percentages of Quick Pick purchases for any draw. A number less than 1 means the Quick Pick is less than effective as a Self Picked purchase. At 80%, a Quick Pick is only (1 / 4)th as effective as a Self Picked purchase.

 Quick Pick % Quick Pick's Self Pick Equal 70% 0.42857 71% 0.40845 72% 0.38889 73% 0.36986 74% 0.35135 75% 0.33333 76% 0.31579 77% 0.29870 78% 0.28205 79% 0.26582 80% 0.25000

This makes reasonable sense, Quick Picks out weigh the number of Self Picked purchases. This would be like having a football game and on the Quick Pick side you have all 12 players and on the Self Pick side you'd have only about 3 to 5 players. All the players have equal ability. Who do you think is going to win? Really, come on, all things being equal, it's obvious and unfair.

But, you also have to realize, with all those Quick Picks, if they are so great, wouldn't you see more wins per draw?

Self Picked numbers have the edge. Let's look at what 1 Self Picked purchase is equal to in terms of a Quick Pick.

Solving for X instead of Y, we get X = (p · Y) / (1 - p)

Set Y = 1, the equation is X = p / (1 - p)

 Quick Pick % Self Pick's Quick Pick Equal 70% 2.33333 71% 2.44828 72% 2.57143 73% 2.70370 74% 2.84615 75% 3.00000 76% 3.16667 77% 3.34783 78% 3.54545 79% 3.76190 80% 4.00000

As you can see, at 80% you'd have to have at least 4 Quick Pick wins in the same draw to be the same as 1 Self Pick win in the same draw.

Quick Picks can't match the power of Self Picks.

.

 ThothFindlay, OhioUnited StatesMember #4855May 28, 2004401 PostsOffline August 30, 2007, 11:20 pmInteresting Doug!~Probability=Odds in Motion~
 Guru101IndianaUnited StatesMember #48723January 7, 20071961 PostsOffline August 31, 2007, 12:06 amI think self picks have the edge too.Gonna win.
 RJOh50mid-OhioUnited StatesMember #9March 24, 200120272 PostsOffline September 2, 2007, 10:29 amMany self-picks are random-picks as are quick-picks, but have the advantage of being edited for duplications, grouping and formation of numbers that players may want to avoid or include on their tickets.Even when I play randomly picked numbers I like making out my playslips which allows me know what they are before I buy my tickets. * you don't need to buy every combination, just the winning ones *
 JohnLotteryNew MemberOakland, NJUnited StatesMember #55049September 8, 20071 PostsOffline September 8, 2007, 5:51 pmYour thesis is very well written and presented. I too believe that self picked numbers are better than quick picks. And, your post helps to convince me of this belief. Thanks for doing the math and sharing your findings!
 reddogDurham, North CarolinaUnited StatesMember #1616June 5, 20032862 PostsOffline September 8, 2007, 6:09 pmQuote: Originally posted by JohnLottery on September 8, 2007Your thesis is very well written and presented. I too believe that self picked numbers are better than quick picks. And, your post helps to convince me of this belief. Thanks for doing the math and sharing your findings! Amen ! I have no relationship with any lotto computor so why would the computor do me any favors? I look out for myself and pick my own to control my destiny. Just my opinion.
 KY FloydNYUnited StatesMember #23834October 16, 20054262 PostsOffline September 9, 2007, 12:50 pmI appreciate recreational math at least as much as the next guy, but that was a lot of unnecessary math to figure out that if 80% of tickets are QP's there are 4 QP's sold for every self pick sold. Wouldn't it have been a lot simpler to just  divide .80 by .20? Now, what about the actual data on the number of QP winners vs selfpick winners? The rest of the quote from the powerball site says that about 70 to 80% of the winners are QP's, so their (extensive) data seems to suggest that QP and SP both win in proportion to sales.
Harbinger
Maryland
United States
Member #44102
July 30, 2006
6185 Posts
Online

I get a big laugh when I see someone post about how Quick Picks are the greatest. Then they'll post some winning numbers and prizes with a "Look! See!... See! Look!...  Loooook...seeeee." attitude. Well, there are a few problems with comparing Quick Picks to Self Picks (a.k.a. Personal Picks). It has to do with proportionality of work being done. From Powerball's Frequently Asked Questions page, under the heading WHICH HAS THE BETTER CHANCE OF WINNING: COMPUTER PICKS OR PLAYER PICKS? They say, "About 70% to 80% of purchases are computer picks." Computer picks are also know as Quick Picks. This is a fairly good representation of the population as a whole because it's based on actual data obtained on a Nation wide basis without regard to detailed demographics of the purchaser. 70% to 80% is the percentage of the total number of purchased plays, n. n can be any value for any given draw. p, the percentage, is the proportion of n purchases that are Quick Picks. p is represented as a value less than or equal to 1 and greater than or equal to 0, i. e. ( 70% = .70 and 80% = .80). Multiplying p times n gives the number of Quick Pick purchases for that draw, Qn. The number of Self Picked purchases is just the difference between n and Qn, Sn = n - Qn. During any draw there are Quick Pick wins, X, and Self Pick wins, Y. In order to offset the disproportionate number Quick Pick purchases to Self Pick purchases, we need to setup an equation of proportionality that states as Y is to B is the same as X is to A. This satisfies a lead in partial statement of, "All things being equal..." The equation of proportionality is then, Y is to Sn is the same as X is to Qn becomes (Y / Sn) = (X / Qn). This allows for a more equal comparison of which type of play has the advantage. We can solve for Y to find by proportion what a Quick Pick equals in terms of a Self Picked purchases based on the approximate percentage of 70% to 80%. As you'll see, the number of purchases becomes immaterial because that value factors out of the final equation.

n - total number of purchases

p - percentage of Quick Pick purchases

Qn = p · n , Qn - number of Quick Pick purchases

Sn = n - Qn , Sn - number of Self Pick purchases

X - Quick Pick wins

Y - Self Pick wins

(Y / Sn) = (X / Qn), equation of proportionality

Equation of Proportionality Solved for Y

(Y / Sn) = (X / Qn)

(Y / (n - Qn)) = (X / Qn)

(Y / (n - p · n)) = (X / (p · n))

(Y / (n (1 - p))) = (X / (p · n))

Y = ((n (1 - p)) / (p · n)) · X

Y = ((1 - p) / p) · X

Y = ((1 / p) - 1) · X

If we set X = 1, then we can see what one Quick Pick win equals in terms of a Self Pick win.

Y = ((1 / p) - 1) · 1

Y = (1 / p) - 1

Below is a table that shows what a Quick Pick equals for a few different percentages of Quick Pick purchases for any draw. A number less than 1 means the Quick Pick is less than effective as a Self Picked purchase. At 80%, a Quick Pick is only (1 / 4)th as effective as a Self Picked purchase.

 Quick Pick % Quick Pick's Self Pick Equal 70% 0.42857 71% 0.40845 72% 0.38889 73% 0.36986 74% 0.35135 75% 0.33333 76% 0.31579 77% 0.29870 78% 0.28205 79% 0.26582 80% 0.25000

This makes reasonable sense, Quick Picks out weigh the number of Self Picked purchases. This would be like having a football game and on the Quick Pick side you have all 12 players and on the Self Pick side you'd have only about 3 to 5 players. All the players have equal ability. Who do you think is going to win? Really, come on, all things being equal, it's obvious and unfair.

But, you also have to realize, with all those Quick Picks, if they are so great, wouldn't you see more wins per draw?

Self Picked numbers have the edge. Let's look at what 1 Self Picked purchase is equal to in terms of a Quick Pick.

Solving for X instead of Y, we get X = (p · Y) / (1 - p)

Set Y = 1, the equation is X = p / (1 - p)

 Quick Pick % Self Pick's Quick Pick Equal 70% 2.33333 71% 2.44828 72% 2.57143 73% 2.70370 74% 2.84615 75% 3.00000 76% 3.16667 77% 3.34783 78% 3.54545 79% 3.76190 80% 4.00000

As you can see, at 80% you'd have to have at least 4 Quick Pick wins in the same draw to be the same as 1 Self Pick win in the same draw.

Quick Picks can't match the power of Self Picks.

It has always been my experience, excellent derivation and conclusion. Thanks Doug.

 RJOh50mid-OhioUnited StatesMember #9March 24, 200120272 PostsOffline September 10, 2007, 2:05 pmOne of the advantages of picking your own numbers is you can introduce a bias that shouldn't and can't exits with QPs.  For example, since MegaMillion changed its matrix 231 drawings back the winning combinations have matched 2000 of the 27720 possible combinations of 3's in a pool of 56 numbers.  Each combination of 5 have 10 of them and about 50% of the winning combinations have 10 new ones and 40% have 9 new ones every drawing.  By making sure the combinations you play have as many new combinations of 3's as possible, you increase the odds of at least matching three numbers and hopefully more.  There may be other bias you've noticed in the winning combinations and by picking your own combinations you can avoid or take advantage of them. * you don't need to buy every combination, just the winning ones *
 JADELotteryThread StarterZimbabweMember #21December 7, 20014530 PostsOffline September 10, 2007, 5:31 pmI'd like to say that in no way should Quick Picks be etched of the equation.However, when someone uses Quick Picks as the banner headline to indirectly put down those who choose their own numbers, well, that's just not right. From my pervious post I stated first, "This makes reasonable sense, Quick Picks out weigh the number of Self Picked purchases. This would be like having a football game and on the Quick Pick side you have all 12 players and on the Self Pick side you'd have only about 3 to 5 players. All the players have equal ability. Who do you think is going to win? Really, come on, all things being equal, it's obvious and unfair." The highlighted portions show that I acknowledge the fact there are is a disproportionate number of winning Quick Picks to Self Picks. From the Powerball FAQ's page, they say "About 70% to 80% of winners are computer picks." Underscore, Obvious and Unfair.My second posted statement, "But, you also have to realize, with all those Quick Picks, if they are so great, wouldn't you see more wins per draw?", was intended to be a little sarcastic and facetious. Mostly directed toward Jackpot wins, but with the recent multi-Mega Millions winners, maybe they read this. Mwww-ah-ahah, I have more control than they know.Anyway, the overall objective was to level the unfair playing field that Quick Picks and Self Picks are playing on. Also, there are other aspects of Self Picked number that have an advantage that far out weigh Quick Picks. One of these can be expressed in one word, 'Discretion.' With Quick Picks you have absolutely none. Self Picks give you that leeway to make an Intelligent decision about what numbers you'd like to play. There is no Quick Pick in the world that can even come close to this.In ending, I'd like to see the Quick Pick believer gather up all those Quick Pick Losers in one place and tell them how they should love their Loosing Quick Picks because they are so great. Please make sure to bring someone else with you and video record this for me.  I've never seen a hoard of disgruntled Quick Pick Losers tear someone limb-from-limb..
 Coin Toss100Zeta Reticuli Star SystemUnited StatesMember #30469January 17, 200611497 PostsOffline September 10, 2007, 5:45 pmIf you subscribed to the list of winners e-mail for any given lottery game you might think differently. I get the one for the Illinois Little Lotto since it's the one I play the most, there's a drawing everyday, and it gets hit pretty often. Most of those hits are quick picks, that's al there is to it.  Here's August: LITTLE LOTTO PRIZE PAYOUTS FOR FRIDAY, AUGUST 03, 2007     Winning NUMBERS: 01 - 05 - 26 - 36 - 39     PLAYER(S) MATCHING 5 OF 5 NUMBERS    INCLUDING SUBSCRIPTION WINNERS:        2 EACH PLAYER WILL RECEIVE:        \$190,000.00        Winning TICKET(S) WERE SOLD AT:        828178    CC FOOD MARTS            (QP)                    258707    SPEEDWAY #5378           (QP)              LITTLE LOTTO PRIZE PAYOUTS FOR SUNDAY, AUGUST 05, 2007     Winning NUMBERS: 03 - 14 - 25 - 27 - 28     PLAYER(S) MATCHING 5 OF 5 NUMBERS    INCLUDING SUBSCRIPTION WINNERS:        1 EACH PLAYER WILL RECEIVE:        \$150,000.00        WINNING TICKET(S) WERE SOLD AT:        800219    CASEYS GEN STORE #2287        LITTLE LOTTO PRIZE PAYOUTS FOR TUESDAY, AUGUST 07, 2007     WINNING NUMBERS: 01 - 11 - 14 - 26 - 38     PLAYER(S) MATCHING 5 OF 5 NUMBERS    INCLUDING SUBSCRIPTION WINNERS:        1 EACH PLAYER WILL RECEIVE:        \$175,000.00        WINNING TICKET(S) WERE SOLD AT:        201535    PAYLESS TOBACCO          (QP)          LITTLE LOTTO PRIZE PAYOUTS FOR WEDNESDAY, AUGUST 08, 2007     WINNING NUMBERS: 06 - 16 - 25 - 34 - 35     PLAYER(S) MATCHING 5 OF 5 NUMBERS    INCLUDING SUBSCRIPTION WINNERS:        1 EACH PLAYER WILL RECEIVE:        \$100,000.00        WINNING TICKET(S) WERE SOLD AT:        095125    GAS PLUS FOOD MART         (QP)            etc.... It won't let me post them all because they're in caps and it's too time consuming to make them  enough lower case to post, but for August 11 out of 17 winning tickets were quick picks.  That's a very typical month. Those who run the lotteries love it when players look for consistency in something that's designed not to have any. So many systems, so many theories, so few jackpot winners. There is one and only one 'proven' system, and that is to book the action. No matter the game, let the players pick their own losers.
 four4meMDUnited StatesMember #1701June 18, 20039543 PostsOffline September 10, 2007, 5:47 pmI buy a quick pick for most every mega draw. I am usually never happy with the numbers on them --- meaning i rarely get quick picks that have numbers i would have even thought of playing. When we bought quick picks in a pool i would go over the numbers and shake my head having found that out of 100 or so tickets many tickets had similar combinations of numbers either sequentially or by position. I expected to see lines that are completely different from one another. Not tickets with the same numbers bunched up. Of course i realize that every ticket has the same possibility of winning something. I just wish the numbers on quick picks were more dispersed over the field of numbers. And not the same on every other or several lines. Sometimes i take the quick pick numbers i get on a group of tickets and fill out tickets with different numbers hoping to edge my selections in my favor. Hasn't worked yet but there always the next draw.
 Coin Toss100Zeta Reticuli Star SystemUnited StatesMember #30469January 17, 200611497 PostsOffline September 10, 2007, 5:50 pmfour4meBut how often are the numbers drawn ones we would have played? Evidently not all that often!Those who run the lotteries love it when players look for consistency in something that's designed not to have any. So many systems, so many theories, so few jackpot winners. There is one and only one 'proven' system, and that is to book the action. No matter the game, let the players pick their own losers.
 jarasanHarbingerMarylandUnited StatesMember #44102July 30, 20066185 PostsOnline September 10, 2007, 10:23 pmQuote: Originally posted by JADELottery on September 10, 2007I'd like to say that in no way should Quick Picks be etched of the equation.However, when someone uses Quick Picks as the banner headline to indirectly put down those who choose their own numbers, well, that's just not right. From my pervious post I stated first, "This makes reasonable sense, Quick Picks out weigh the number of Self Picked purchases. This would be like having a football game and on the Quick Pick side you have all 12 players and on the Self Pick side you'd have only about 3 to 5 players. All the players have equal ability. Who do you think is going to win? Really, come on, all things being equal, it's obvious and unfair." The highlighted portions show that I acknowledge the fact there are is a disproportionate number of winning Quick Picks to Self Picks. From the Powerball FAQ's page, they say "About 70% to 80% of winners are computer picks." Underscore, Obvious and Unfair.My second posted statement, "But, you also have to realize, with all those Quick Picks, if they are so great, wouldn't you see more wins per draw?", was intended to be a little sarcastic and facetious. Mostly directed toward Jackpot wins, but with the recent multi-Mega Millions winners, maybe they read this. Mwww-ah-ahah, I have more control than they know.Anyway, the overall objective was to level the unfair playing field that Quick Picks and Self Picks are playing on. Also, there are other aspects of Self Picked number that have an advantage that far out weigh Quick Picks. One of these can be expressed in one word, 'Discretion.' With Quick Picks you have absolutely none. Self Picks give you that leeway to make an Intelligent decision about what numbers you'd like to play. There is no Quick Pick in the world that can even come close to this.In ending, I'd like to see the Quick Pick believer gather up all those Quick Pick Losers in one place and tell them how they should love their Loosing Quick Picks because they are so great. Please make sure to bring someone else with you and video record this for me.  I've never seen a hoard of disgruntled Quick Pick Losers tear someone limb-from-limb.I'd like to add, that in addition to "discretion" there is "intuition".  Human intuition cannot be measured empirically and therefore cannot be discounted as a good resource.You can analyze, quantify, and calculate with all the tools we have at our disposal, but there is nothing that can match the human brain's ability to assimilate, process, and draw conclusions from any set of data it is given, instantaneously. "I think therefore I pick my own........"
 JADELotteryThread StarterZimbabweMember #21December 7, 20014530 PostsOffline September 10, 2007, 11:23 pmQuote: Originally posted by Coin Toss on September 10, 2007If you subscribed to the list of winners e-mail for any given lottery game you might think differently. I get the one for the Illinois Little Lotto since it's the one I play the most, there's a drawing everyday, and it gets hit pretty often. Most of those hits are quick picks, that's al there is to it.  Here's August: LITTLE LOTTO PRIZE PAYOUTS FOR FRIDAY, AUGUST 03, 2007     Winning NUMBERS: 01 - 05 - 26 - 36 - 39     PLAYER(S) MATCHING 5 OF 5 NUMBERS    INCLUDING SUBSCRIPTION WINNERS:        2 EACH PLAYER WILL RECEIVE:        \$190,000.00        Winning TICKET(S) WERE SOLD AT:        828178    CC FOOD MARTS            (QP)                    258707    SPEEDWAY #5378           (QP)              LITTLE LOTTO PRIZE PAYOUTS FOR SUNDAY, AUGUST 05, 2007     Winning NUMBERS: 03 - 14 - 25 - 27 - 28     PLAYER(S) MATCHING 5 OF 5 NUMBERS    INCLUDING SUBSCRIPTION WINNERS:        1 EACH PLAYER WILL RECEIVE:        \$150,000.00        WINNING TICKET(S) WERE SOLD AT:        800219    CASEYS GEN STORE #2287        LITTLE LOTTO PRIZE PAYOUTS FOR TUESDAY, AUGUST 07, 2007     WINNING NUMBERS: 01 - 11 - 14 - 26 - 38     PLAYER(S) MATCHING 5 OF 5 NUMBERS    INCLUDING SUBSCRIPTION WINNERS:        1 EACH PLAYER WILL RECEIVE:        \$175,000.00        WINNING TICKET(S) WERE SOLD AT:        201535    PAYLESS TOBACCO          (QP)          LITTLE LOTTO PRIZE PAYOUTS FOR WEDNESDAY, AUGUST 08, 2007     WINNING NUMBERS: 06 - 16 - 25 - 34 - 35     PLAYER(S) MATCHING 5 OF 5 NUMBERS    INCLUDING SUBSCRIPTION WINNERS:        1 EACH PLAYER WILL RECEIVE:        \$100,000.00        WINNING TICKET(S) WERE SOLD AT:        095125    GAS PLUS FOOD MART         (QP)            etc.... It won't let me post them all because they're in caps and it's too time consuming to make them  enough lower case to post, but for August 11 out of 17 winning tickets were quick picks.  That's a very typical month. Notice the left out information:1. The total number of Quick Pick purchases it took to get that(those) win(s) for that day's draw.2. The total number of Quick Pick purchases for the draws spanning 2007-08-03 to 2007-08-08 even when there was no jackpot Quick Pick win.3. The numerous stores where people bought Losing-jackpot Quick Picks.And at 70% to 80% of the purchases, I think you can get the picture..

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