Five cards are drawn at random from a pack. The probability that they are of the same color is

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$\frac{253}{4998}$

$\frac{2}{4165}$

$\frac{1}{1325}$

$\frac{1}{4165}$

answer is A.

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Detailed Solution

$P (A) = \frac{n (A)}{n (S)} = \frac{^{26} C_{5}}{^{52} C_{5}} = \frac{\frac{26 \times 25 \times 24 \times 23 \times 22}{5 \times 4 \times 3 \times 2 \times 1}}{\frac{52 \times 51 \times 50 \times 49 \times 48}{1 \times 2 \times 3 \times 4 \times 5}} = \frac{253}{4998}$

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