3 years ago

A couple wants to have 5 kids. find the probability that they have at least one boy.

Mathematics

1 answer:

tangare [24]3 years ago

6 0

Probability of having at least 1 boy = 1 - the probability of having ALL girls.

P(5 girls) = (1/2)⁵ = 1/32

P(At least 1 boy) = 1 - 1/32 = 31/32

Answer: 31/32

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$k:\ 9x+7y=6\ \ \ |-9x\\\\7y=-9x+6\ \ \ \ |:7\\\\y=-\dfrac{9}{7}x+\dfrac{6}{9}\to m_1=-\dfrac{9}{7}\\\\l:\ y=m_2x+b\\\\l\ \perp\ k\iff-\dfrac{9}{7}m_2=-1\ \ \ \ |\cdot\left(-\dfrac{7}{9}\right)\\\\m_2=\dfrac{7}{9}\to\ l:\ y=\dfrac{7}{9}x+b$

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