Chapter 12.7, Problem 1P

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. $P(15)$

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 1P

  $\frac{1}{15}$

Explanation of Solution

Given:

Given section is :

P(15)

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 number ‘15’ = 1

  $P(15)=\frac{\text{favourable number of outcomes of getting number 15}}{total\text{ number of outcomes}}=\frac{1}{15}$

Hence , the theoretical probability of landing on the section numbered 15 is $\frac{1}{15}$ .