(i)[3]
Find the probability that the match has a winner after exactly two sets.
(ii)[2]
Find the probability that Andy wins the match, given that the match has a winner after exactly two sets.
Mathematics 9709 · AS & A Level · Linear combinations of random variables
Linear combinations of random variables — practice question
Roger and Andy are playing a tennis match; the match is won by the first player to take two sets. The chance that Roger wins the opening set is $0.6$. After the first set, Roger's probability of winning a set is $0.7$ if he won the previous set, and is $0.25$ if he lost the previous set. No set is drawn.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A correct pair of probability factors for $P(RR)=0.6\times0.7$ or $P(AA)=0.4\times0.75$” …
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