CAIE S1 2021 June — Question 4

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

4 Three fair six-sided dice, each with faces marked \(1,2,3,4,5,6\), are thrown at the same time, repeatedly. For a single throw of the three dice, the score is the sum of the numbers on the top faces.
  1. Find the probability that the score is 4 on a single throw of the three dice.
  2. Find the probability that a score of 18 is obtained for the first time on the 5th throw of the three dice.