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Question

Mathematics Question on Probability

The face cards are removed from a well shuffled pack of 52 cards. Out of the remaining cards 4 are drawn at random: The probability that they belong to different suits is

A

13452c4\frac{13^4}{^{52}c_4}

B

13c440c4\frac{^{13}c_4}{^{40}c_4}

C

10440c4\frac{10^4}{^{40}c_4}

D

13440c4\frac{13^4}{^{40}c_4}

Answer

10440c4\frac{10^4}{^{40}c_4}

Explanation

Solution

P(E)=10440c4P(E) = \frac{10^4}{^{40}c_4}