Antony plays a carnival game. In the game, there is a box containing $3$ tokens numbered $4$ and

Question

Antony plays a carnival game. In the game, there is a box containing $3$ tokens numbered $4$ and $n$ tokens numbered $1$, where $n\ge 3$. Antony takes three tokens at random and without replacement. His score is the sum of the numbers on the three tokens taken. Determine the probability distribution of Antony’s score.[3] Given that the expectation of Antony’s score is $4.5$, find the value of $n$.[3]

Accepted Answer

(ii) $15$

2022 RVHS P2 Q7

2022 RVHS P2 Q7

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