Probablity

Question

A spinner has 8 equally sized sections, 6 of which are gray and 2 of which are blue. The spinner is spun twice. What is the probability that the first spin lands on blue and the second spin lands on gray? Write your answer as a fraction in simplest form.

Answer 1

The probability that the first spin lands on blue = 2/8 = ¼

The probability that the second spin lands on gray = 6/8 = ¾

 

The probability that the first spin lands on blue and the second spin lands on gray is

(¼)(¾) = 3/16

 

These events are independent, so you can just multiply the probabilities