(i)[2]
Find the value of $P(Q)$.
(ii)[2]
Find the value of $P(R)$.
(iii)[2]
Are $Q$ and $R$ exclusive events? Justify your answer.
(iv)[2]
Are $Q$ and $R$ independent events? Justify your answer.
Mathematics 9709 · AS & A Level · Linear combinations of random variables
Linear combinations of random variables — practice question
Two fair twelve-sided dice numbered $1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12$ are rolled, and the numbers on the faces that land face down are recorded. Events $Q$ and $R$ are defined below. $Q$: the product of the two numbers is $24$. $R$: both of the numbers are greater than $8$.