A bag contains 5 red balls and 3 blue balls of the same size

MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability

Problem

A bag contains 5 red balls and 3 blue balls of the same size. A ball is drawn at random, replaced in the bag, and then a second ball is drawn. Answer the following: (i) Determine the total number of possible ordered pairs of colours for the two draws. (ii) Calculate the probability that both balls drawn are red. (iii) Calculate the probability that exactly one of the two balls drawn is red. (iv) Calculate the probability that at least one of the balls drawn is blue.

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