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%.
0.48
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.
Yes, because after 35 your probability for having multiple births goes up.
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.
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%.
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.
25
0.48
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.
Yes, because after 35 your probability for having multiple births goes up.
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.
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%.
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).
No.
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
Assuming that the births at the hospital are equally likely to be of either gender then the answer is (1/2)4 = 1/16
In 2018, approximately 0.9% of births in the US were home births. This equates to around 35,000 children born at home that year.