Question

A card is drawn from a deck of 52 cards. What is the probability of not getting an ace?

• A. $\frac{1}{12}$
• B. $\frac{2}{13}$
• C. $\frac{1}{13}$
• D. $\frac{12}{13}$

Answer 1

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

A deck has 52 cards
Therefore, total number of outcomes = 52
We know,
There are 4 aces in a deck, (Ace of Hearts, Ace of Spades, Ace of Clubs and Ace of Diamonds)
Therefore,
Number of favourable outcomes = 4
Hence,
P(getting an ace) $=\frac{4}{52}$
$=\frac{1}{13}$
Hence,
P(not getting an ace) $=1-\frac{1}{13}$
$=\frac{12}{13}$