91影视

The contingency table is shown below:

To see event 鈥渂eing a female musician鈥� and 鈥渓earning music in school鈥� are mutually exclusive events or not, consider the probability of event being a female musician AND learning music in school.

If the probability of the event being a female musician and learning music in school is equal to zero, then it will be concluded both events are mutually exclusive.

It can be seen that total number of musicians is$130$and $38$are female musician who learned music in school. To calculate

$$\begin{gathered} P(beingafemalemusicianandlearningmusicinschool)=\frac{femalmusicianwholearnedmusicinschool}{totalmusicians} \\ P(beingafemalemusicianandlearningmusicinschool)=\frac{38}{130} \\ P(beingafemalemusicianandlearningmusicinschool=0.29 \end{gathered}$$

Hence, the probability being a female musician and learning music in school is not equal to zero.