Venn Diagrams · Exercise 4

shows a random sample of musicians and how they learned to play their instruments.
$$\begin{array}{ccccc}\text{Gender}& \text{Self-taught}& \text{Studied in school}& \text{Private instruction}& \text{Total}\\ \text{Women}& \text{12}& \text{38}& \text{22}& \text{72}\\ \text{Men}& \text{19}& \text{24}& \text{15}& \text{58}\\ \text{Total}& \text{31}& \text{62}& \text{37}& \text{130}\end{array}$$

Are the events “being a woman musician” and “learning music in school” mutually exclusive events?

OpenStax, Introductory Business Statistics 2e · §3.5 Venn Diagrams · Exercise 4