Question

Two cards are drawn at random from a pack of $52$ cards. The probability of getting at least a spade and an ace is:

Answer 1

Let's find the probability of getting atleast a spade and an ace.

Total possible outcomes $={}^{52}C_2=1326$

Favourable Outcome ( $1$ spade and $1$ ace) $={}^{13}C_1\times {}^{4}C_1=13\times 4=52$

Hence, probability of getting atleast a spade and an ace $=\frac{52}{1326}=\frac{2}{51}$