Question

One card is drawn from a regular deck of 52 cards. Find the probabilities associated with the following events.a. The card is a 9. b. The card is a heart. c. The card is not a 4. d. The card is not a face card.

Answer 1

Given:

One card is drawn from a regular deck of 52 cards.

We will find the following probabilities:

a. The card is a 9.

The number of cards of a 9 = 4

so, the probability of the card is 9 = 4/52 = 1/13

b. The card is a heart.

The number of cards of a heart = 13

So, the probability of a card is heart = 13/52 = 1/4

c. The card is not a 4.

The number of cards of a 4 = 4

So, the probability of the card is not 4 = 1 - 4/52 = 1 - 1/13 = 12/13

d. The card is not a face card.

The number of cards with a face card = 12

So, the probability of the card is not a face = 1 - 12/52 = 1 - 3/13 = 10/13