CAIE S1 2015 June — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2015
SessionJune
TopicDiscrete Probability Distributions
TypeSampling without replacement

4 A pet shop has 9 rabbits for sale, 6 of which are white. A random sample of two rabbits is chosen without replacement.
  1. Show that the probability that exactly one of the two rabbits in the sample is white is \(\frac { 1 } { 2 }\).
  2. Construct the probability distribution table for the number of white rabbits in the sample.
  3. Find the expected value of the number of white rabbits in the sample.