Ten diners are to sit at a round table where three of them are to be separated. If seating is done r

Question

Ten diners are to sit at a round table where three of them are to be separated. If seating is done randomly, what is the probability that all these three diners are seated separately?[3] The probability that John goes to school by train, bus, and car are ${0.4}$, ${0.5}$, and ${0.1}$ respectively. John is late for school ${5\%}$ of the time if he takes the train. The corresponding figures for bus and car are ${6\%}$ and ${1\%}$. Find the probability that John does not take the train given that he is late for school.[4] Find the probability that John is late for the second time on the last day of a five-day week.[3]

Accepted Answer

(a) $\dfrac5{12}$ (b)(i) $\dfrac{31}{51}$ (ii) $0.00889$ (3 s.f.)

2008 CJC Q7 [Modified]

2008 CJC Q7 [Modified]

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