Question

use the spinner shown. it is equally probable that the pointer will land on any one of the six regions. if the pointer lands on a borderline, spin again. if the pointer is spun twice, find the probability that it will land on purple and then grey find the probability that the spinner will land on purple and then grey. (type an integer or a simplified fraction.)

Explanation:

Step1: Count purple regions

There are 2 purple regions out of 6 total regions. Probability of purple: $\frac{2}{6} = \frac{1}{3}$.

Step2: Count grey regions

There is 1 grey region out of 6 total regions. Probability of grey: $\frac{1}{6}$.

Step3: Multiply probabilities

Since spins are independent, $P(\text{purple then grey}) = \frac{1}{3} \times \frac{1}{6} = \frac{1}{18}$.

Answer:

$\frac{1}{18}$