Answer to Question #350704 in Statistics and Probability for james j

Question

There is a spinner with 11 equal areas, numbered 1 through 11. If the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 3?

Answer 1

The possible outcomes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11;

the number of them n = 11.

The favorable outcomes: 2, 3, 4, 6, 8, 9, 10;

the number of favorable outcomes is k = 7.

The searched probability is

$P=\cfrac{k} {n} =\cfrac{7} {11}.$