(a)[4]
Construct the probability distribution table for $Y$.
(b)[2]
Find the probability that $Y = 2$ given that $Y$ is even.
Mathematics 9709 · AS & A Level · Discrete random variables
Discrete random variables — practice question
The random variable $X$ can take the values $1$, $2$, $3$ and $4$, with each value occurring with probability $\frac{1}{4}$. Two independent values of $X$ are selected at random. If the two selected values of $X$ are identical, then the random variable $Y$ is that value. If they are not identical, then $Y$ is the larger value of $X$ minus the smaller value of $X$.