Multiple choice

A card is drawn randomly from a well shuffled pack of 52 playing cards and following events are defined: A : The drawn card is a face card. Find odds in favor of A

  1. 3:10

  2. 3:1

  3. 3:7

  4. 7:10
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A Correct answer
Explanation

Face cards are Jack, Queen, King in each of 4 suits, total 12. Probability of A = 12/52 = 3/13. Odds in favor = P(A) / (1 - P(A)) = (3/13) / (10/13) = 3/10.

AI explanation

A standard deck has 12 face cards, which means there are 40 cards that are not face cards. The odds in favor of an event are the ratio of the number of favorable outcomes to unfavorable outcomes. Therefore, the odds in favor of drawing a face card are 12 to 40. Simplifying this fraction gives a ratio of 3:10.

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