A biased coin has probability $\dfrac35$ of landing heads. Independently, a fair spinner with thre

Question

A biased coin has probability $\dfrac35$ of landing heads. Independently, a fair spinner with three equal sectors labelled $1,2,3$ is spun. The six ordered outcomes are $H1,H2,H3,T1,T2,T3$. Find the probability of $H2$.[1] Find the probability of $T2$.[1] A pupil says every listed outcome has probability $\dfrac16$. Use your answers to explain why this is false.[1]

Accepted Answer

(a) $\dfrac15$ (b) $\dfrac2{15}$ (c) The outcomes have unequal probabilities.

When listed outcomes are not equally likely

When listed outcomes are not equally likely

Solution:

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