Question

A card is selected at random from well shuffled pack of $52$ cards. Find the probability that the selected card is not an ace.

• A. $\frac{1}{13}$
• B. $\frac{12}{13}$
• C. $\frac{3}{12}$
• D. $1$

Answer 1

Answer: (B)

$\frac{12}{13}$

Total no. of cards$=52$

No. of aces$=4$

Probability for selected card to be ace$=\frac{{}^4{C}_1}{{}^{52}{C}_1}$

$=\frac{4}{52}=\frac{1}{13}$

Probability for not getting an ace$=1-\frac{1}{13}$

$=\frac{12}{13}$