MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability
Problem
A bag contains 6 red, 4 blue and 5 green marbles. Two marbles are drawn from the bag one after the other with replacement.
(i) Calculate the probability that neither of the two marbles drawn is red.
(ii) Hence find the probability that at least one of the two marbles drawn is red.
(iii) If the experiment is repeated 5 times, determine the expected number of experiments in which at least one red marble is obtained.