Find the probability of at least 2 girls in 6 births. assume that male and female births are equally likely and that the births are independent events.

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07-06-2018
Mathematics

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Find the probability of at least 2 girls in 6 births. assume that male and female births are equally likely and that the births are independent events.

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altavistard altavistard · Answer 1 · 2018-06-07T05:38:40+02:00

Sounds like a problem in binomial probability. What do you think?

Here the # of experiments is 6, so n = 6. The probability of a baby girl being born is 0.50.

Using my TI-83 Plus calculator:

binompdf(6, 0.5, 2) = 0.234
binompdf(6, 0.5, 3) = 0.313
binompdf(6, 0.5, 4) = 0.234
binompdf(6, 0.5, 5) = 0.094
binompdf(6, 0.5, 6) = 0.016

To get the prob. of at least 2 girls in 6 births, add up the 5 probabilities given above:

P(at least 2 girls in 6 births) = 0. ???