Mathematics 9709 · AS & A Level · Probability

Probability — practice question

Two fair dice, one red and one blue, are rolled. Event $A$ is "the number on the red die is a multiple of $3$". Event $B$ is "the total of the two numbers is at least $9$."
(a)[2]

Find $P(A \cap B)$.

(b)[2]

Hence determine whether the events $A$ and $B$ are independent.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Write out the full outcome space, or list the $\{A,B\u007f\}$ outcomes, or give the outcomes in $A\cap B$

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