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In a family of 3 children, find the probability of having at least one boy. Select the correct answer from above options

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Let E be the event of having at least one boy The probability that each child will be a girl= 1/2 The probability that each child will be a boy = 1/2 The probability of no boys = All are girls = 1/2 x 1/2 x 1/2 = 1/8 Then, the number of favorable outcome is P(E) –P(not E) = 1 where Let E be the event of having at least one boy, then P(E) is probability of having atleast one boy and P(not E) = Probability of having no boys. Therefore, Probability (at least 1 boy) = 1 – Probability (no boys)= 1 – 1/8 = 7/8

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