OCR S1 2010 January — Question 5

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2010
SessionJanuary
TopicCombinations & Selection

5 A washing-up bowl contains 6 spoons, 5 forks and 3 knives. Three of these 14 items are removed at random, without replacement. Find the probability that
  1. all three items are of different kinds,
  2. all three items are of the same kind.