MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
A class has 14 boys and 6 girls. A committee of 5 students is to be chosen at random without replacement.
(i) Find the probability that no girl is selected in the committee.
(ii) Using your answer to part (i), determine the probability that at least one girl is included in the committee.
(iii) If the selection is repeated independently two more times (with replacement of all students before each new selection), find the probability that every one of the three committees formed contains at least one girl.