Question

The spinner below is spun three times. If the spinner lands on a border, that spin does not count and spin again. It is equally likely that the spinner will land in each of the six sectors. For each question below, enter your response as a reduced fraction. -Find the probability of spinning red on the first spin, blue on the second spin, and cyan on the third spin.

Answer 1

The probability of spinning red on the first spin, blue on the second spin, and cyan on the third spin is 1/216.

The probability of spinning red on the first spin is 1/6.

The probability of spinning blue on the second spin is also 1/6.

And the probability of spinning cyan on the third spin is 1/6.

The overall probability,

we multiply the individual probabilities together: 1/6 x 1/6 x 1/6 = 1/216.

So, the probability of spinning red on the first spin, blue on the second spin, and cyan on the third spin is 1/216.