AP EAMCET20225 Jul 2022Evening ShiftMathematicsProbabilityActual

From a pack of 52 cards, 3 cards are drawn at random. Then, the probability that one is ace, one is queen and one is jack is

Options

A19 5525
B21 5525
C17 5525
D16 5525

Correct answer

D. 16 5525

Step-by-step solution

Favourable outcomes One ace and one queen and 1 jack There are 4 cards of each Selecting 1 out of 4 can be done in ^4 C₁ ^4 C₁ ^4 C₁=4 4 4 ways There are total 52 cards Total outcomes are selecting 3 out of 52 i.e. ⁵² C ₃= 52 51 50 3 2 =22100 Required probability = 4 4 4 22100 = 16 5525

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