TMUA DPiD Maths Mock Set 1 Paper 1 · Question 17

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DPiD Maths Mock Set 1 Paper 1 · Q17

Paper 1Probability

Alice and Bob repeatedly flip a fair coin. Alice wins if $1$ head followed by $3$ tails appears. Bob wins if $5$ heads in a row appears. They flip until someone wins. What is the probability that Alice wins?

\frac12

\frac{15}{19}

\frac7{11}

\frac35

\frac{15}{16}

\frac8{23}

\frac{16}{31}

\frac{31}{47}

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