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The ages in years of 5 boys are 7,8,9,10 and 11while those of 5 girls are 4,5,6,7 and 8. A boy and a girl are picked at random and the sum of their ages are recorded.
(a) Draw a probability space to show all the possible outcome.
(b) Find the probability that the sum of their
ages is at least 17 years.