Question

The spinner is equally likely to land on any of the six sections.

A spinner contains 6 equal sections: 1, 2, 3, 4, 5, 6. Sections 1, 3, and 5 are shaded. The spinner is pointing at number 6.

What is the probability that the spinner will land on a number greater than 4 or on a shaded section?

Two-ninths
One-half
Two-thirds
Five-sixths

Answer 1

Two-thirds.

Explanation:

Probability (it lands on a number > 4) = 2/6 = 1/3 (as there are 2 numbers > 4 on the spinner).

Probability (it lands on a shaded number) = 2/6 = 1/3 (as there are 2 shaded numbers on the spinner - we exclude 5 as its > 4 ).

Required probability

= 1/3 + 1/3

= 2/3.