Answer to Question #300117 in Statistics and Probability for Doug

Question

What is the probability or 4 out of 5 hands (dealer plus 4 players) receiving a "blackjack" (an Ace plus any 10 value card) all at the same time assuming all 104 cards are in play? Thank you

Answer 1

Define the probability = ( number of successes) / (number of all possible outcomes)

we also note that when a card is used it is not replaced.

we have 104 cards, so the probability = (4/104) * (3/103) = 0.001120239 which is the required solution.