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  • A and B draw two cards each, one after another, from a pack of well-shuffled pack of 52 cards. The probability that all the four cards drawn are of the same suit is<stro

A and B draw two cards each, one after another, from a pack of well-shuffled pack of 52 cards. The probability that all the four cards drawn are of the same suit is

Option: 1

\frac{44}{85 \times 49}


Option: 2

\frac{11}{85 \times 49}


Option: 3

\frac{13 \times 24}{17 \times 25 \times 49}


Option: 4

None of these


Answers (1)

best_answer

The probability of the four cards being spades\mathrm{=\frac{{ }^{13} C_2}{{ }^{52} C_2} \times \frac{{ }^{11} C_2}{{ }^{50} C_2}}

Similarly, for other suits.

\therefore The required probability \mathrm{=4 \times \frac{{ }^{13} C_2 \times{ }^{11} C_2}{{ }^{52} C_2 \times{ }^{50} C_2}=\frac{44}{85 \times 49}}

Posted by

Pankaj Sanodiya

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