Question

A card is drawn from a well-shuffled deck of 52 playing cards. What is the probability that it is a queen or a heart?

Answer 1

Solution:

There are 52 cards in a standard deck.

Number of queens = 4

Number of Heart cards = 13

There is one card in common. "Queen of Heart"

Event A : "Queen card is selected"

Event B : "Heart card is selected"

A B : Queen AND Heart

Find P(queen or a heart)

= P(A B)

= P(A) + P(B) - P(A B)

= (4/52) + (13/52) - (1/52)

= 16/52

= 4/13  

P(queen or a heart) = 4/13 = 0.3077