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One card is selected at random from a standard deck of 52 cards. A player wagers that the card will be a spade or an ace. What are the odds against the player winning the wager?
- 17: 52
- 52: 17
- 9: 4
- 4: 9
Correct answer: 9: 4
Solution
The player wins if they draw a spade (13 cards) or an ace (4 cards), but since one of the aces is also a spade, there are 16 winning cards in total. Therefore, the odds against winning are calculated by comparing the number of losing cards (36) to the winning cards (16), simplifying to 9 losing cards for every 4 winning cards.
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