Determine whether the events are disjoint.
-If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years.
A) $\frac { 334 } { 365 }$
B) $\frac { 31 } { 334 }$
C) $\frac { 11 } { 12 }$
D) $\frac { 31 } { 365 }$

Question

Determine whether the events are disjoint.
-If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years. 
A) $\frac { 334 } { 365 }$
B) $\frac { 31 } { 334 }$
C) $\frac { 11 } { 12 }$
D) $\frac { 31 } { 365 }$

Quizplus · Accepted Answer

The events "having a birthday in May" and "not having a birthday in May" are disjoint, meaning they cannot happen at the same time. Therefore, the probability of not having a birthday in May is equal to 1 minus the probability of having a birthday in May. Since May has 31 days out of 365, the probability of having a birthday in May is $\frac{31}{365}$, so the probability of not having a birthday in May is $1-\frac{31}{365}=\frac{334}{365}$.

Determine Whether the Events Are Disjoint 334365\frac { 334 } { 365 }365334​

Determine Whether the Events Are Disjoint $\frac { 334 } { 365 }$