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Question

Mathematics Question on Probability

Two cards are drawn at random from a pack of 5252 cards. The probability of these two being "Aces" is

A

126\frac{1}{26}

B

1221\frac{1}{221}

C

12\frac{1}{2}

D

113\frac{1}{13}

Answer

1221\frac{1}{221}

Explanation

Solution

Required probability (both are 'Aces')
=4C252C2=4×352×51=1221=\frac{{ }^{4} C_{2}}{{ }^{52} C_{2}}=\frac{4 \times 3}{52 \times 51}=\frac{1}{221}