CAIE S1 2013 November — Question 7

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2013
SessionNovember
TopicConditional Probability
TypeProbability distribution from conditional setup

7 Dayo chooses two digits at random, without replacement, from the 9-digit number 113333555.
  1. Find the probability that the two digits chosen are equal.
  2. Find the probability that one digit is a 5 and one digit is not a 5 .
  3. Find the probability that the first digit Dayo chose was a 5, given that the second digit he chose is not a 5 .
  4. The random variable \(X\) is the number of 5s that Dayo chooses. Draw up a table to show the probability distribution of \(X\).