First slide

Theorems of probability

Question

A card is drawn from a pack of 52 cards. A gambler bets that it is a spade or an ace. What are the odds against his winning this bet?

Moderate

A

17:52
B

52:17
C

9:4
D

4:9

Solution

The Probability of the card being a spade or an ace is $\frac{16}{52} = \frac{4}{13} .$
Hence, odds in favour are 4 : 9.
So that odds against his winning are 9 : 4.

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