Question

A card is drawn from a well-shuffled deck of 52 playing cards. The probability that the card will not be an ace is

• A. $\frac{1}{13}$
• B. $\frac{1}{4}$
• C. $\frac{12}{13}$
• D. $\frac{3}{4}$

Answer 1

The correct option is C $\frac{12}{13}$

Total Possible Outcomes:$52$

Number of Aces: $4$

The probability of getting an Ace is

$P\left(E\right)=\frac{1}{13}$

Therefore probability of getting not an ace is $P\left(E^{\prime }\right)=1-P\left(E\right)=1-\frac{1}{13}=\frac{12}{13}$