Question

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

Find P(Musician is a male and had private instruction).

Short answer

The required solution is$P\left(\text{Musicianisamaleandhadprivateinstruction}\right)=0.11538.$

Step-by-step solution

Given information

The 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 also there are $15$ male musicians who use private instructions. So, by using formula to calculate probability which is no. of favorable outcomes divided by total no. of outcomes we get,

$$\begin{gathered} P\left(\text{Musician is a female}\right)=\frac{\text{No. of female musician}}{\text{Total no. of musician}} \\ P\left(\text{Musician is a male and had private instruction}\right)=\frac{15}{130}=0.11538 \end{gathered}$$

Final answer

The probability is$P\left(\text{Musician is a male and had private instruction}\right)=0.11538.$