Question

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

Write your answer as a simplified fraction.
The card drawn is 7.
The card drawn is a face card.

Answer 1

Answers

1. Probability of a 7 is 1/13
2. Probability of a face card is 3/13

Explanations

1. There are 4 copies of "7" out of 52 cards total. Therefore we get a probability of 4/52 = 1/13
2. For any particular suit, there are 3 face cards: Jack, Queen, and King. There are 4 suits: clubs, spades, hearts, and diamonds. That gives 3*4 = 12 face cards total. Then 12/52 = 3/13 is the probability of selecting a face card at random.