CAIE S1 2015 June — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2015
SessionJune
TopicCombinations & Selection

5 A box contains 5 discs, numbered 1, 2, 4, 6, 7. William takes 3 discs at random, without replacement, and notes the numbers on the discs.
  1. Find the probability that the numbers on the 3 discs are two even numbers and one odd number. The smallest of the numbers on the 3 discs taken is denoted by the random variable \(S\).
  2. By listing all possible selections (126, 246 and so on) draw up the probability distribution table for \(S\).