A card is drawn randomly from a standard 52-card deck.

Question

A card is drawn randomly from a standard 52-card deck. Find the probability of the given event.

Write your answers as simplified fractions.

A. The card drawn is 3.

1. P(3) is equal to    .

B. The card drawn is the 3 of clubs.

1. P(3 of clubs) is equal to    .

C. The card drawn is a face card (Jack, Queen, or King).

1. P(face card) is equal to    .

D. The card drawn is not a diamond.

1. P(not a diamond) is equal to    .

Answer 1

The denominator is 52 for all of these. What varies is the numerator.

A. The card drawn is 3. There are 4 3's in the deck

1. P(3) is equal to  4/52 = 1/13

B. The card drawn is the 3 of clubs. There is one of these

1. P(3 of clubs) is equal to  1/52

C. The card drawn is a face card (Jack, Queen, or King). 3 card x 4 suits = 12

1. P(face card) is equal to 12/52 = 3/13

D. The card drawn is not a diamond There are 3 suits that are not diamonds. 13 cards x 3 suits = 39

1. P(not a diamond) is equal to 39/52 = 3/4