Search

Poker Deal Probability Puzzler
You are an observer of a poker deal experiment. The experiment administrator has two decks of playing cards: one deck is the standard 52 cards (no Jokers), and the second deck is the standard 52 cards plus 2 Jokers (54 total). The administrator chooses one of the two decks at random with 50% probability of each, but you are not informed of which one is chosen. Next the administrator deals two five-card poker hands from the (same, but unknown) chosen deck to two players. The result is bo
Aug 7, 2022, 11:02 pm - Orange71 - Mathematics Forum

Mega Millions - is a $1, $2, or $3 ticket the best value (EV)?Reply
That's not how Expected Value works. Your statement is valid, however, from the standpoint of Standard Deviation. No question JTJ has the highest SD, by far. Let me give an expository example from Video Poker. Let's say this is Jacks or Better Draw. Suppose we have the following starting hand dealt to us before the draw: Jack-Spades, Jack-Clubs, 10-Clubs, 9-Clubs, 8-Clubs The payout chart is per unit bet is: Royal Flush - 800 Straight Flush - 50 4 of a Kind - 25 Full House -
Jul 27, 2022, 5:45 pm - Orange71 - Mathematics Forum

Craps Pass Line With Odds Bet - Casino AdvantageReply
Correct, in games of chance where current and future play is independent of past play , knowing how to figure the odds will not make a winning player. (Examples are lotteries, craps and baccarat.) Neither will software or systems which purport some sort of advantage over randomness. Mathematics are just facts, neither favoring nor disfavoring anyone. There is not, and cannot be, anything extra in my play, your play or anyone else's play. In games of chance where past play changes either probabil
Sep 30, 2022, 7:49 pm - Orange71 - Mathematics Forum

Craps Pass Line With Odds Bet - Casino AdvantageReply
Astounding streaks happen in any game of chance. In fact, given enough trials (this is the key point ) , they are inevitable. Casinos go to great lengths to ensure there are no physical factors that result in bias deviating from theoretical odds. The dice used in Craps are very tightly engineered not to have a bias, and they're changed out periodically. Notwithstanding, streaks inevitably still occur. There is nothing abnormal or mystical there, it's perfectly consistent with random fluctuat
Sep 24, 2022, 11:27 am - Orange71 - Mathematics Forum

Poker Deal Probability PuzzlerReply
This new spin still gives the same answer as Q4, which is 27/71. In the first deck, there's 4 ways to choose the suit of the natural r.f., 3 ways the choose the suit of the unnatrual r.f., and 5 ways to choose the card that's being replaced by the joker, and 1 way to choose the joker. So the probability is 4*3*5/(53 choose 10) In the second deck, there's again 4 ways to choose the suit of the natural r.f., 3 ways the choose the suit of the unnatrual r.f., and 5 ways to choose the card tha
Aug 9, 2022, 10:54 am - cottoneyedjoe - Mathematics Forum