CAIE S1 2021 March — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2021
SessionMarch
TopicGeometric Distribution
TypeFirst success on specific trial

1 A fair spinner with 5 sides numbered 1,2,3,4,5 is spun repeatedly. The score on each spin is the number on the side on which the spinner lands.
  1. Find the probability that a score of 3 is obtained for the first time on the 8th spin.
  2. Find the probability that fewer than 6 spins are required to obtain a score of 3 for the first time.