Question

A card is drawn at random from a pack of 52 cards, find the probability of getting a club or a queen is _____.

• A. 1/14
• B. 1/52
• C. 1/13
• D. 4/13

Answer 1

The correct option is D 4/13

Probability shows the relationship between two variables in the form of ratio, percentage or proportion where there the chances of occurrence of one variable is expressed in terms of the other variable which is usually sample space.

The sample space for the event is 52.

Let the event of getting a club be A and the event of getting a queen be B.

n(A) = 13, n(B) = 4 and n(A∩B) = 1

P(A) = 13/52 , P(B) = 4/52 and P(A∩B) = 1/52

Therefore, P(getting either A or B)

= P(AUB)

= P(A) + P(B) - P(A∩B)

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

= 4/13