A card is drawn from a pack of 52 cards. A ga | vedclass

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(C) Total number of cards = $52$.Number of spades = $13$.Number of aces = $4$.Since one card is an ace of spades,the number of favorable outcomes (spa

Vedclass · Accepted Answer

$9:4$

Vedclass · Answer

(C) Total number of cards = $52$.Number of spades = $13$.Number of aces = $4$.Since one card is an ace of spades,the number of favorable outcomes (spade or ace) = $13 + 4 - 1 = 16$.Probability of winning $P(E) = \frac{16}{52} = \frac{4}{13}$.Probability of losing $P(E') = 1 - \frac{4}{13} = \frac{9}{13}$.Odds in favor = $P(E) : P(E') = \frac{4}{13} : \frac{9}{13} = 4 : 9$.Odds against winning = $P(E') : P(E) = 9 : 4$.

$A$ 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?

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