OCR S1 2007 June — Question 4

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2007
SessionJune
TopicTree Diagrams
TypeSequential dependent events

4 A bag contains 6 white discs and 4 blue discs. Discs are removed at random, one at a time, without replacement.
  1. Find the probability that
    (a) the second disc is blue, given that the first disc was blue,
    (b) the second disc is blue,
    (c) the third disc is blue, given that the first disc was blue.
  2. The random variable \(X\) is the number of discs which are removed up to and including the first blue disc. State whether the variable X has a geometric distribution. Explain your answer briefly.