Question

The spinner at the right is divided into eight equal parts. Find the theoretical probability of landing on the given​ section(s) of the spinner.

​P(not less than 5)

Answer 1

​P(not less than 5) = 0.5

Explanation:

Given

Parts of spinner = 8 equal parts

Required

​P(not less than 5)

First, it'll be assumed that the parts of the spinner is numbered 1 - 8.

This gives the following sample space (S)

S = {1,2,3,4,5,6,7,8}

Total = 8

To calculate PP(not less than 5), the number of parts not less than 5 is needed.

Parts not less than 5 = {5,6,7,8}

Number of parts = 4

So, ​P(not less than 5) = Number of parts not less than 5 divided by total number of parts

Mathematically, P(not less than 5) = 4/8

​P(not less than 5) = 4/8

​P(not less than 5) = ½

​P(not less than 5) = 0.5

Hence, the theoretical probability of PP(not less than 5) is 0.5.