A card is drawn from a pack of 52 cards. A gambler bets that it is a spade or an ace. What are odds

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14.Probability

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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

$17:52$

B

$52:17$

C

$9:4$

D

$5:8$

Solution

(c) Probability of the card being a spade or an ace $ = \frac{{16}}{{52}} = \frac{4}{{13}}$.

Hence odds in favour is $4:9.$

So the odds against his winning is $9\,\,:\,\,4$.

Standard 11

Mathematics

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