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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


A

17:52

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B

52:17

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C

9:4

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D

4:9

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Solution

The correct option is C

9:4


Explanation for the correct option:

Let events α: a spade is drawn and event β an ace is drawn.

then, The probability of winning the bet =P(αorβ)

=1352+452152 P(AorB)=P(A)+P(B)P(AB)

=1652=413

∴ Probability of losing the bet =1413

=913

Thus, the odds against winning the bet =913:413

=9:4

Hence, Option ‘C’ is Correct.


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