86.1k views
3 votes
the dealer is known to deal cards from a deck that is comprised of 10 10 standard card decks. this means that there are 40 40 of each rank of card and 520 520 total cards. the dealer plays a game where he shuffles all 10 10 decks together randomly, and then he starts turning over cards from the top of the deck. once he turns over 5 5 kings, the game is over. you win the game if you are closest to how many cards total (including the final king) the dealer turns over before the game ends. how many cards would you guess to maximize your chances maximize your chances? note that this is different than the expected value.

User Stephenye
by
7.2k points

1 Answer

5 votes

Final answer:

To maximize your chances in this game, you should guess that the dealer turns over all 520 cards before finding the 5 Kings.

Step-by-step explanation:

To maximize your chances in this game, you should guess that the dealer turns over the maximum number of cards possible before finding the 5 Kings. Since there are 10 standard decks with 520 total cards, in order to maximize your chances, you should guess that the dealer turns over all 520 cards before finding the 5 Kings. This guess allows for the most possible card turns before the game ends.

User Qwertyboy
by
7.8k points