Chapter 12.7, Problem 9P

You spin a spinner that has 15 equal-sized sections numbered 1 to 15. Find the theoretical probability of landing on the given section(s) of the spinner.

P (prime number)

To determine

You spin a spinner that has 15 equal-sized sections numbered 1 to 15 .Find the theoretical probability of landing on the given section(s) of the spinner.

Answer to Problem 9P

  $\frac{2}{5}$

Explanation of Solution

Given:

Given section is :

P(prime number)

Formula Used :

  $\mathrm{P}(E)=\frac{\text{Favourable number of outcomes of event E}}{T\text{otal number of outcomes}}$

Calculation:

The total number of sections in the spinner = 15

The favourable number of outcomes of getting a prime number = 6 ({2,3,5,7,11,13})

  $P(prime\text{ number})=\frac{\text{favourable number of outcomes of getting a prime number}}{total\text{ number of outcomes}}=\frac{6}{15}=\frac{2}{5}$

Hence , the theoretical probability of landing on the section with prime number is $\frac{2}{5}$ .