Question

One card is drawn randomly from a well shuffled pack of $52$ playing cards. Find the probability that the drawn card is not an ace.

Answer 1

The total number of outcomes of a deck of $52$ cards are $52$.

Since, there are $4$ cards of ace in a deck of $52$ cards, therefore, the total number of favourable outcome that it is not an ace is $52-4=48$.

Therefore, probability $P$ of not getting an ace is:

$P=\frac{48}{52}=\frac{12}{13}$

Hence, the probability of not getting an aceis $\frac{12}{13}$.