Mathematics 9709/51 — October/November 2020

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

questions

marks

minutes

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

Q1ProbabilityFree sample

Two ordinary fair dice, one red and the other blue, are thrown.

Event $A$ is ‘the score on the red die is divisible by 3’.
Event $B$ is ‘the sum of the two scores is at least 9’.

(a)

Find $P(A \cap B)$ .

(b)

Hence determine whether or not the events $A$ and $B$ are independent.

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