Compute the Probability of an Event Using the Complement Rule
-You are dealt one card from a 52 -card deck. Find the probability that you are not dealt a heart.
A) $\frac { 3 } { 4 }$
B) $\frac { 1 } { 4 }$
C) $\frac { 4 } { 13 }$
D) $\frac { 2 } { 5 }$

Question

Quizplus · Accepted Answer

The complement rule states that the probability of an event not happening is 1 minus the probability of the event happening. Since there are 13 hearts in a 52-card deck, the probability of being dealt a heart is $\frac{13}{52} = \frac{1}{4}$. Therefore, the probability of not being dealt a heart is $1 - \frac{1}{4} = \frac{3}{4}$.

Compute the Probability of an Event Using the Complement Rule 34\frac { 3 } { 4 }43​

Compute the Probability of an Event Using the Complement Rule $\frac { 3 } { 4 }$