CAIE FP2 2017 June — Question 6

Exam BoardCAIE
ModuleFP2 (Further Pure Mathematics 2)
Year2017
SessionJune
TopicGeometric Distribution
TypeFind minimum n for P(X ≤ n) > threshold
6 A fair die is thrown repeatedly until a 6 is obtained.
  1. Find the probability that obtaining a 6 takes no more than four throws.
  2. Find the least integer \(N\) such that the probability of obtaining a 6 before the \(N\) th throw is more than 0.95.
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Q1 3 Q3 Q4 Q5 Q6 Q7 Q8 Q9 10 Q10 Q11 EITHER Q11 OR