Question: Combination There are 12 red balls numbered consecutively from '2' to '13' in Bag A and 6 green balls numbered consecutively from '2' to '7'

Combination

There are 12 red balls numbered consecutively from '2' to '13' in Bag A and 6 green balls numbered consecutively from '2' to '7' in Bag B. All the balls are identical except for their colours and numbers. (i) ' Two balls are drawn at random from Bag A without replacement. (a) What is the probability that the numbers on both balls are prime? [2] (b) What is the probability that the sum of the numbers on both balls is even? [2] (c) What is the probability that the numbers on both balls are prime given that the sum of the numbers on both balls is even? [3] (ii) If one ball is drawn at random from Bag A and another ball is drawn at random from Bag B, what is the probability that the number on the red ball drawn is more than twice the number of the green ball drawn? [3]

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