A bag contains red

MATHEMATICS · Multi-part · A Level · Mathematics · Statistical distributions · Statistical distributions

Problem

A bag contains 55 red, 33 blue and 22 green balls, all identical in feel. One ball is drawn at random, its colour noted, and the ball is replaced before the next draw. The experiment is performed 44 times. Using this information, answer the following: (i) Find the probability that all four draws result in a red ball. (ii) Find the probability that the first draw is red and each of the remaining three draws is blue. (iii) Find the probability that exactly two of the four draws result in a green ball. (iv) Find the probability that at least one green ball is obtained in the four draws.

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