Question

.A single card is randomly drawn from a deck of 52 cards. a, Find the probability that it is an ace. b. Find the probability that it is a number less than 5 (not including the ace).

Answer 1

A: 1/13 B: 3/13

Explanation:

There are 4 aces in a deck. 4/52=1/13

If you are talking about 2,3,4 then 12/52=3/13

If you include the 5 it is 16/64= 4/13

Answer 2

P( ace) = 1/13

P (< 5) = 3/13

Explanation:

There are 4 Aces in a deck of cards, 1 in each suit

P (ace) = number of aces/ total cards

= 4/52 = 1/13

Numbers less than 5: 4 twos, 4 threes, 4 fours =12 cards less than 5 ( since we do not include aces) There are 4 of each card since there is one in each suit.

P ( card < 5) = cards less than 5/ total

=12/52 = 3/13