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This is a Binomial Probability; p=0.5, n=10 & x=7.

Since you want the probability of exactly 7, in the related link calculator, after placing in the above values, P(x=7) = 0.1172 or 11.72%.

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Q: What is the probability of exactly 7 boys in 10 births when the birth of any child does not affect the probability of the gender of any other children?
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Related questions

What is The probability of The next 7 births being girls?

There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes.However, if you assume that they are independent events then, the probability that the next seven births are girls (given that the global probability of a girl is 0.48), is 0.00614 approx.


What is the probability of having 4 boys in 10 births?

25


If probability of male birth is 0.52 What is the probability that there will be more girls than boys in 100 births?

0.48


What is the probability of having exactly 8 boys in 10 births?

For each birth, you have two choices - either a boy or a girl. Then, the probability for a certain birth to obtain a choice is ½. Using Binomial Theorem, we have (10 choose 8)(½)8(½)² = 45/1024.


Is there a higher probability of twins for women over 40?

Yes, because after 35 your probability for having multiple births goes up.


What is the probability of the birthday of 6 students fall in exactly 2 calendar months is?

It is not possible to answer the question since births are not uniformly distributed over the year. Furthermore, calendar months are not the same length, either.


A couple has two children What is the probability that both are boys given that the first born is a boy?

The expected (but incorrect) answer to the question is 1/2.It is not correct because:the probabilities of the gender of children in a family are not independent;the probability of a boy is not 1/2 but greater. For example, the global proportion of male births in 2012 was approx 52%.


What is the probability of having twins if your husband is a twin?

Identical twins happen by chance only; 4 per 1000 births or 0.004 probability. Fraternal twin probability is increased only if it is on the mother's side; so this does you affect your circumstance (from what you have stated). The chance of fraternal twins is 1 in 60 or 0.017. So, your probability of identical twins is 0.004 and fraternal twins is 0.017 (BTW, I have triplets).


Does birth control affect multiple births?

No.


What is the probability of 6 members of one family being born on a different day of the week?

Births are not distributed uniformly over days of the week: there are fewer births at weekends. However, if you do assume that the distribution is uniform, then the probability is 6!/76 = 5040/117649 = 0.0428


What is the probability of the next four births at a hospital being all girls?

Assuming that the births at the hospital are equally likely to be of either gender then the answer is (1/2)4 = 1/16


What is the probability of twenty-two consecutive same gender births?

Assuming that the chance of a woman giving birth to a boy or a girl is the same (in reality there's about 105 boys born for every 100 girls) then the probability of 22 of the same gender births *in a row* is: P=(0.5)^22=0.0000002384 or 1 in 4,194,304 It depends on the "when" of the question. If you point at a childless woman, and say "She will give birth to 22 children. What is the likelyhood that they will all be girls?" In that case the probability will be one in two-to-the-twenty-second. Pretty long odds. BUT, if you point at a woman with twenty one children, and ask "What are the odds that the next one will be a girl?" Then the answer is one in two. Make sense?