SOLUTION: Ten students, A, B,..., are in a class. A committee of three is chosen at random to represent the class. Find the
probability that:
(a) A belongs to the committee;
(b) B belong
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-> SOLUTION: Ten students, A, B,..., are in a class. A committee of three is chosen at random to represent the class. Find the
probability that:
(a) A belongs to the committee;
(b) B belong
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Question 1119078: Ten students, A, B,..., are in a class. A committee of three is chosen at random to represent the class. Find the
probability that:
(a) A belongs to the committee;
(b) B belongs to the committee;
(c) A and B belong to the committee;
(d) A or B belong to the committee; Answer by ikleyn(52780) (Show Source):
You can put this solution on YOUR website! .
Ten students, A, B,..., are in a class. A committee of three is chosen at random to represent the class. Find the
probability that:
Of 10 students of the class, you can form = = 120 triples (triplets), in all.
(a) A belongs to the committee; You can form = 36 such triples, by adding two other of remaining 9
students of the class.
So the probability under the question is = = 0.3 = 30%
(b) B belongs to the committee; Same answer (and same solution) as (a).
(c) A and B belong to the committee; You can form only 8 such triples by adding any of remaining 8 students to A and B.
The answer is = .
(d) A or B belong to the committee; Add (a) with (b) and subtract (c):
= = = .
