9709/51

Mathematics 9709/51October/November 2021

Cambridge AS Level · Probability & Statistics 1 · worked solutions for every part, with the mark scheme

7
questions
50
marks
75
minutes

Topics Discrete Random Variables · Representation of Data · Probability · Permutations and Combinations · The Normal Distribution

Q1Discrete Random VariablesFree sample

Two fair coins are thrown at the same time. The random variable XX is the number of throws of the two coins required to obtain two tails at the same time.

(a)

Find the probability that two tails are obtained for the first time on the 7th throw.

2M
(b)

Find the probability that it takes more than 9 throws to obtain two tails for the first time.

2M

The rest of this paper

6 more questions
  • Q2Representation of Data4M
  • Q3Probability5M
  • Q4Discrete Random Variables6M
  • Q5Permutations and Combinations · Probability10M
  • Q6Representation of Data10M
  • Q7The Normal Distribution · Discrete Random Variables11M
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