A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is a queen or aclub. Express the probability as a simplified fraction.
A) $\frac { 4 } { 13 }$
B) $\frac { 7 } { 52 }$
C) $\frac { 2 } { 13 }$
D) $\frac { 3 } { 13 }$

Question

A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is a queen or aclub. Express the probability as a simplified fraction. 
A) $\frac { 4 } { 13 }$
B) $\frac { 7 } { 52 }$
C) $\frac { 2 } { 13 }$
D) $\frac { 3 } { 13 }$

Quizplus · Accepted Answer

There are 4 queens in a deck and 13 clubs. However, one of the queens is also a club, so we must avoid double-counting it. Thus, we have 4 (queens) + 12 (remaining clubs) = 16 favorable outcomes. The probability is $ \frac { 16 } { 52 } = \frac { 4 } { 13 } $.

A Card Is Drawn from a Standard Deck of 52 413\frac { 4 } { 13 }134​

A Card Is Drawn from a Standard Deck of 52 $\frac { 4 } { 13 }$