Answer to Question #296907 in Statistics and Probability for bii

Question

A spinner for a child's game has the numbers 1 through

9 evenly spaced. If a child spins, find each probability:

a. The number is divisible by 3.

b. the number is greater than 7.

c. The number is an even number.

Answer 1

Sample space = {1,2,3,4,5,6,7,8,9}

Total number of outcomes = 9

a. Number divisible by 3 in the sample space = 3, 6, 9

Thus, no. of favourable outcomes = 3

Required probability = $\frac{3}{9}=\frac{1}{3}$

b. Number greater than 7 in the sample space = 8, 9

Thus, no. of favourable outcomes = 2

Required probability = $\frac{2}{9}$

c. Even number in the sample space = 2, 4, 6, 8.

Thus, no. of favourable outcomes = 4

Required probability = $\frac{4}{9}$