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The die is tossed $3$ times. Determine the probability that the score is $4$ on no more than $1$ of the $3$ throws.
Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
The six faces of a biased die carry the labels $1,2,3,4,5$ and $6$. Let the random variable $X$ denote the score obtained when the die is tossed. The probability distribution for $X$ is as follows: for $x=1,2,3,4$, $P(X=x)=p$, and for $x=5,6$, $P(X=x)=0.2$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Successful attempt to obtain $P(\text{throwing a 4}) = \frac{1 - 0.4}{4}$” …
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