# SOLUTION: There is a committee of 4 people. There are 5 teachers and 20 parents to choose for this committee. What is the probability that: A: All are teachers? B: Two are teachers and two

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: There is a committee of 4 people. There are 5 teachers and 20 parents to choose for this committee. What is the probability that: A: All are teachers? B: Two are teachers and two      Log On

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 Click here to see ALL problems on Probability-and-statistics Question 352126: There is a committee of 4 people. There are 5 teachers and 20 parents to choose for this committee. What is the probability that: A: All are teachers? B: Two are teachers and two are parents?Found 2 solutions by ewatrrr, sudhanshu_kmr:Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website!Hi, *Note: The probability of x successes in n trials is: . P = nCx* * where p and q are the probabilities of success and failure respectively. . nCx = . Question states p(teacher drawn) = 5/25 0r .2 and q = .8 . A. 4C4 = . P(4 teachers are selected) = = .0016 . B. 4C2 = . P(2 teachers and 2 parents) = Answer by sudhanshu_kmr(1152)   (Show Source): You can put this solution on YOUR website! No. of ways to choose 4 people from total 25 people = 25C4 (i.e no. of sample space) A: No. of ways to choose 4 people from 5 teachers = 5C4 probability of all 4 are teachers = no. of favourable event/ no. of sample space = 5C4 / 25C4 = 5 / 12650 = 1 / 2530 .............................................................................. B. No. of ways to choose 2 teachers and 2 parents = 5C2 * 20C2 = 10 * 190 = 1900 probability of 2 teachers and 2 parents = 1900 / 25C4 = 38 / 253 Sometimes there may be typing mistake in solution of a problem, so please ignore it. Understand the concept and try the problem yourself.