Dabitah, Azizul and Farah are members of a badminton club that have training session each Saturday. The independent probabilities that Dabitah, Azizul and Farah take part in any of these training sessions are 0.65, 0.7 and 0.9 respectively. Find the probability that, on a particular Saturday: (a) Farah is the only one of the three badminton players to take part. (b) Exactly one of the three badminton players take part. (c) Either one or two of the three badminton players take part.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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QUESTION 5
Dabitah, Azizul and Farah are members of a badminton club that have training session each
Saturday. The independent probabilities that Dabitah, Azizul and Farah take part in any of
these training sessions are 0.65, 0.7 and 0.9 respectively.
Find the probability that, on a particular Saturday:
(a)
Farah is the only one of the three badminton players to take part.
(b)
Exactly one of the three badminton players take part.
(c)
Either one or two of the three badminton players take part.
Transcribed Image Text:QUESTION 5 Dabitah, Azizul and Farah are members of a badminton club that have training session each Saturday. The independent probabilities that Dabitah, Azizul and Farah take part in any of these training sessions are 0.65, 0.7 and 0.9 respectively. Find the probability that, on a particular Saturday: (a) Farah is the only one of the three badminton players to take part. (b) Exactly one of the three badminton players take part. (c) Either one or two of the three badminton players take part.
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