Question

Two cards are drawn from a pack of $52$ cards without replacement, find the probability of getting a heart both the times

• A. $\frac{1}{17}$
• B. $\frac{2}{5}$
• C. $\frac{1}{9}$
• D. $\frac{2}{9}$

Answer 1

Answer: (A)

$\frac{1}{17}$

Total number of cards in the pack, $n\left(S\right)=52$

Total number of hearts in the pack, $n\left(H\right)=13$

Hence the probability of getting a heart both the times = $\frac{13}{52}\times \frac{12}{51}=\frac{13\times 3}{13\times 51}=\frac{1}{17}$