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Arithmetic Complexity in Texas All or NothingReply
Fair point on the probabilities. For this game they are double for each tier from what I showed from my equation since two outcomes result in each prize. The player is expected to lose about $0.44 per $1 spent overall, before income tax of course in the event of a net win. Also, there is some possibility that the $250k top prize will be reduced in the event of more than 20 winners. Still terrible overall in my opinion, but not as terrible as I had suggested originally. rib
Jul 26, 2023, 8:19 pm - Orange71 - Mathematics Forum

same exact pick 3 numbers played in the exact same order, for eve and night what are the odds?Reply
The probability of 858 repeating in evening, given that it occurred it in the morning is 1/1000, as db101 reported. This is what we call a conditional probability, P(B|A). Event A is 858 occurred in the morning, and B is 858 occurred in the evening. The | means given that . Clearly P(B) = P(B|A) in this case, meaning they are independent. What about the joint probability of ANY winning numbers from the morning repeating in the evening? That's also 1/1000, but how we get there is slightly dif
Aug 25, 2023, 2:10 pm - Orange71 - Mathematics Forum

How many repeat combinations in Cash 5Reply
It was stated earlier that out of 8100 drawings (or thereabouts) of CT Cash 5 there were 93 instances of a set of numbers being drawn twice and 3 instances of a set of numbers being drawn 3 times. I ran my own random simulation of 1000 repetitions of 8100 drawings of the CT Cash 5 Game (5/35) in order to compare with the actual results reported. The event of 93 instances of sets of numbers being drawn exactly twice was at the 27.5 percentile of the 1000 simulations, so somewhat below average
Sep 25, 2022, 8:08 pm - Orange71 - Mathematics Forum

How many combos in sequence for 5/36 matrix?Reply
The probability of such a consecutive sequence is 1/11781, which is 32/COMBIN(36,5). The cumulative probability of the 1st occurrence of this event on drawing 7722 or before, according to the Negative Binomial distribution, is 48.1%, which is close to the median (50%). There is nothing particularly unusual about what occurred.
Sep 7, 2022, 8:02 pm - Orange71 - Mathematics Forum

Scratchers probability puzzleReply
The answer is p=0.246 or 24.6%. I worked this out by counting probabilities for all event combinations and partitions, not by random simulation. It is considerable harder than the first problem because there are many more possible events. Furthermore, the average (Expected Value) of $ won with these rules is $11.41 and the average (EV) of $ spent is $3.80.
Aug 6, 2022, 1:10 pm - Orange71 - Mathematics Forum

NUMEROLOGY FASINATING Numbers Rule the UniverseReply
As long as you event. you will do no harm.... ~with compliments Best Wishes -:)
Sep 16, 2023, 5:50 pm - eddessaknight - Mathematics Forum

How many combos in sequence for 5/36 matrix?Reply
The theoretical probabilities for a single draw are as follows: P(1 odd / 4 even) = 1360 / 10101 = 0.1346 = 13.46% P(4 odd / 1 even) = 1615 / 10101 = 0.1599 = 15.99% P(all even) = 68 / 3367 = 0.0201 = 2.01% P(all odd) = 272 / 10101 = 0.0269 = 2.69% A probabilities for a succession of draws will follow the Binomial Distribution. The standard deviation for a given event with probability P is sqrt[P*(1-P)/n] where n is the number of draws. If you're saying that all odd has 3.4%
Sep 30, 2022, 2:57 pm - Orange71 - Mathematics Forum