spinner question

Question

The spinner below is spun twice. 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.

REDREDREDBLUEBLUECYAN

For each question below, enter your response as a reduced fraction.

Find the probability of spinning cyan on the first spin and red on the second spin.

 

Find the probability of spinning cyan on the first spin and blue on the second spin.

 

Find the probability of NOT spinning cyan on either spin. (Not cyan on the first spin and not cyan on the second spin.)

Answer 1

Prob(Red) = 3/6 = 1/2

Prob(Blue) = 2/6 = 1/3

Prob(CYAN) = 1/6

Prob( CYAN then red) = 1/6 * 1/2 = 1/12

Prob( CYAN then Blue) = 1/6 * 1/3 = 1/18

Prob( no Cyan on 2 spins) = (1/2+1/3)* (1/2+1/3) = 5/6 * 5/6 = 25/36