Mathematics 9709 · AS & A Level · Probability

Probability — practice question

Jasmine rolls two ordinary fair 6-sided dice together and writes down the numbers on the top faces. The events $A$ and $B$ are defined as follows. $A$: The total of the two numbers is below $6$. $B$: The difference between the two numbers is at most $2$.
(a)[4]

Determine whether events $A$ and $B$ are independent or not.

(b)[3]

Work out $P(B \mid A')$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct probabilities are $P(A)=\frac{10}{36}$ and $P(B)=\frac{24}{36}$.

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