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Question: From a pack of playing cards three cards are drawn simultaneously. The probability that these are on...

From a pack of playing cards three cards are drawn simultaneously. The probability that these are one king, one queen and one jack is

A

645525\frac { 64 } { 5525 }

B

165525\frac { 16 } { 5525 }

C

1285525\frac { 128 } { 5525 }

D

64625\frac { 64 } { 625 }

Answer

165525\frac { 16 } { 5525 }

Explanation

Solution

Required probability =4C1×4C1×4C152C3= \frac { { } ^ { 4 } C _ { 1 } \times { } ^ { 4 } C _ { 1 } \times { } ^ { 4 } C _ { 1 } } { { } ^ { 52 } C _ { 3 } }