Question

$A$ 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

• A. $\frac{44}{85\times 49}$
• B. $\frac{11}{85\times 49}$
• C. $\frac{13\times 24}{17\times 25\times 49}$
• D. None of these

Answer 1

The correct option is A $\frac{44}{85\times 49}$

Probability $=\frac{{{}^{4}C}_1\times {{}^{13}C}_2\times {{}^{11}C}_2}{{{}^{52}C}_2\times {{}^{50}C}_2}=\frac{44}{85\times 49}$