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 unit, 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 B $\frac{11}{85\times 49}$

Each unit have 13 cards.

$\therefore$ Favorable ways = $\mathrm{13.12.11.10}$ ways

Total no.of ways = $\mathrm{52.51.50.49}$ ways

Probability = $\frac{\mathrm{11.12.13.10}}{\mathrm{52.51.50.49}}$

$=\frac{11}{85\times 49}$