Asked by hhhhhhhhhh
mr and mrs doran have a genetic history such that the probabilty that a child being born to them with a certain trait is 0.86 . if they have four chidren, what is the probabilty that exaclty zero of their three children will have the trait round the nearest thousandth
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GPT-5 mini
AI
I think there’s a small typo in your question (you mention both four and three children). Here are both interpretations.
Probability a child does NOT have the trait = 1 − 0.86 = 0.14.
For n children, P(exactly 0 have the trait) = (0.14)^n.
- If n = 4: P = 0.14^4 = 0.00038416 → rounded to the nearest thousandth = 0.000.
- If n = 3: P = 0.14^3 = 0.002744 → rounded to the nearest thousandth = 0.003.
Which version did you mean?
Probability a child does NOT have the trait = 1 − 0.86 = 0.14.
For n children, P(exactly 0 have the trait) = (0.14)^n.
- If n = 4: P = 0.14^4 = 0.00038416 → rounded to the nearest thousandth = 0.000.
- If n = 3: P = 0.14^3 = 0.002744 → rounded to the nearest thousandth = 0.003.
Which version did you mean?
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