Question

The given table shows a random sample of musicians and how they learned to play their instruments.

Find P(musician is a female OR is self taught).

Short answer

The required solution is,$P\left(\text{Musician is a female or is self-taught}\right)=0.7.$

Step-by-step solution

Given information

The given table shows a random sample of musicians and how they learned to play their instruments.

Calculation

There are total $130$musicians and out of which $72$females and $58$males and there are $12$female musicians who is self taught.

Now, to calculate the probability, we will use the formula of :$P(A\cup B)=P\left(A\right)+P\left(B\right)-P(A\cap B).$

$$\begin{gathered} P(A\cup B)=P\left(A\right)+P\left(B\right)-P(A\cap B). \\ =\frac{72}{130}+\frac{31}{130}-\frac{12}{130} \\ =0.7 \end{gathered}$$

Final answer

The probability is$P\left(\text{Musician is a female or is self-taught}\right)=0.7.$