Chapter 4.1, Problem 68STP

To determine

To Find:

What is the probability that a student’s favorite activity is sports or drama club?

  $\begin{array}{l}(F)\mathrm{...}\frac{3}{8}\\ (G)\mathrm{...}\frac{4}{9}\\ (H)\mathrm{...}\frac{3}{5}\\ (J)\mathrm{...}\frac{2}{3}\end{array}$

Answer to Problem 68STP

The correct choice is (H)

Explanation of Solution

Given Information :

The following table shows the result of a survey of favourite activities :

  

Formula Used:

  $\mathrm{Pr}obability=\frac{Favorable\_Outcomes}{Total\_Outcomes}$

Calculation:

To find the probability,

We need to first find the number of favorable outcomes = Number of students whose favourite is sports or drama club = 314+46 = 360.

The total number of outcomes = 24 + 134 + 37 + 46 + 19 + 26 + 314 = 600.

  $\begin{array}{l}\mathrm{Pr}obability=\frac{Favorable\_Outcomes}{Total\_Outcomes}\\ \Rightarrow \mathrm{Pr}obability=\frac{360}{600}=\frac{3}{5}\end{array}$

So, the correct choice is (H)