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17 November, 07:06

Find the probability of at least 2 girls in 5 births. assume that male and female births are equally likely and that the births are independent events.

round your answer to four decimal places.

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  1. 17 November, 08:11
    0
    Probability of at-least 2 girls = Probability of 2 girls + Probability of 3 girls + Probability of 4 girls + Probability of 5 girls = 1 - (Probability of no girl + probability of 1 girl)

    We know:

    probability when no girl = 5C0 * (1/2) ^0 * (1/2) ^5 = 0.03125

    probability when one girl = 5C1 * (1/2) ^1 * (1/2) ^4 = 0.15625

    probability when at least 2 girls = 1 - (0.03125 + 0.15625)

    = 0.8125 (approx)
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