Question

A card is chosen from a well-shuffled deck of 52 cards. Calculate the probability that a card randomly picked will not be an ace.

• A. 0.923

Answer 1

The correct option is A 0.923

Let E be the event of getting a picking an ace card from the deck.
There are 4 aces in a deck.
P (E) =$\frac{\text{(Number of outcomes favourable to E)}}{\text{(Number of all possible outcomes)}}$ = $\frac{4}{52}$ = $\frac{1}{13}$
We know the sum of probabilities will always be equal to be 1.
P (E) + P(not E) = 1
P(not E) = 1 - P(E)
= 1 - $\frac{1}{13}$
= $\frac{12}{13}$

= $0.923$