(i)[4]
Construct the probability distribution table for the score.
(ii)[2]
Calculate the expected score from the distribution.
Mathematics 9709 · AS & A Level · Linear combinations of random variables
Linear combinations of random variables — practice question
Two fair ordinary dice are rolled. The score is determined in this way: if the numbers shown are different, the score is the smaller number; if both dice show the same number, the score is $0$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct probabilities for at least three outcomes, for example $P(0)=\frac{6}{36}, P(1)=\frac{10}{36}, P(2)=\frac{8}{36}$” …
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