Mathematics 9709 · AS & A Level · Discrete random variables

Discrete random variables — practice question

Rachel owns three coins. The first coin is biased so that the probability of getting a head when it is tossed is $\frac{1}{3}$. The second coin is biased so that the probability of getting a head when it is tossed is $\frac{1}{4}$. The third coin is fair. Rachel tosses all three coins at the same time. The random variable $X$ represents the number of tails she gets.
(main)[3]

Construct the probability distribution table for $X$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: A table giving the correct values of $x$ and at least one correct non-zero probability.

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