Rita and Dave are playing a card game. Dave deals Rita two cards (from a standard deck of 52 cards) face up. Rita must bet if the next card dealt lies between the two cards. In this game, a 10 is considered to be "between" a 9 and a queen. (An ace is the highest card).
Dave deals Rita the following two cards:
Rita has $10. How much do you think she should bet that she will win the game?
It would be a good idea to examine what her chances of winning the game are. Dave has a total of 50 cards left. Of these, there are 16 cards between 4 and 9: each of the four suits has a 5, 6, 7, and 8. Therefore, 16 out of 50 cards will win Rita's bet.
Dave starts again with a full deck, and deals Rita these two cards:
Should Rita bet more money with this scenario? Is she more likely to win?
Think about your answers, then click here