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 grey and then blue find the probability that the spinner will land on grey and then blue (type an integer or a simplified fraction)

Explanation:

Step1: Calculate the probability of landing on grey

There are 6 regions. The probability of landing on grey \( P(\text{grey})=\frac{1}{6}\)

Step2: Calculate the probability of landing on blue

The probability of landing on blue \( P(\text{blue})=\frac{3}{6}=\frac{1}{2}\)

Step3: Use the multiplication rule for independent events

Since the two spins are independent events, \(P(\text{grey and then blue})=P(\text{grey})\times P(\text{blue})\)
Substitute the values: \(P=\frac{1}{6}\times\frac{1}{2}\)

Answer:

\(\frac{1}{12}\)