Find the probability.
-A card is drawn at random from a standard 52-card deck. Find the probability that the card is Neither an ace nor a heart.
A) $\frac { 4 } { 13 }$
B) $\frac { 9 } { 13 }$
C) $\frac { 21 } { 26 }$
D) $\frac { 35 } { 52 }$

Question

Find the probability.
-A card is drawn at random from a standard 52-card deck. Find the probability that the card is Neither an ace nor a heart. 
A) $\frac { 4 } { 13 }$
B) $\frac { 9 } { 13 }$
C) $\frac { 21 } { 26 }$
D) $\frac { 35 } { 52 }$

Quizplus · Accepted Answer

There are 4 aces and 13 hearts in a deck, but 1 card is both an ace and a heart. So, there are 4 + 13 - 1 = 16 cards that are either an ace or a heart. Therefore, there are 52 - 16 = 36 cards that are neither an ace nor a heart. The probability is 36/52 = 9/13.

Find the Probability 413\frac { 4 } { 13 }134​ B) 913\frac { 9 } { 13 }139​

Find the Probability $\frac { 4 } { 13 }$ B) $\frac { 9 } { 13 }$