    Question

# From a pack of 52 cards, all the multiples of 3 are removed. A card is now drawn at random. What is the probability that it is a (i) a face card ( King , Queen ,Jack) (ii) an even number red card

A

0.3 , 0.5

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B

0.4 , 0.5

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C

0.3 , 0.25

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D

0.5 , 0.4

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Solution

## The correct option is C 0.3 , 0.25 Total number of cards = 52 Number of cards which are multiples of 3 in each suit are 3, 6 and 9. ∴ Total number of cards which are multiples of 3 = 12 [Since, there are 4 suits]. So, number of cards left = 52 - 12 = 40 (i) Total number of face cards = 12 ( Number of favourable outcomes) Number of possible outcomes = 40 ∴ Probability to get a face card = 1240 = 310 = 0.3 (ii) Even numbered red colored card are 2 , 4 , 6 , 8, 10 ( There are total of 2 red suits ) Hence, there are 10 even numbered of red colored cards Number of possible outcomes = 40 Hence, P( Even numbered red colored card) = 1040 = 14 = 0.25  Suggest Corrections  0      Similar questions
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