There are: 128,665 twins, 7110 triplets, 468 quadruplets, and 85 quintuplets. A)Find the probability that it represented more than two babies.B) Find the probability it represented quads or quints. C)choose one baby, whats the prob baby was a triplet?

1 Answer

#A=1-128665/136328=7663/136328~=5.62%, B=553/136328~=0.41%,C=21330/280957~=7.60%#

Explanation:

I'll replicate the chart here:

#((color(white)(0),"no. events"),("Twins",128665),("Triplets",7110),("Quadruplets",468),("Quintuplets",85),("Total",136328))#

For the first couple of questions, I think I'm reading them correctly (my assumption in the header):

A - Probability of delivery being "greater than a twin"

There are 136,328 situations where in a birth there was more than one baby delivered. Of those, 128,665 were twins deliveries, meaning that:

#P("delivery resulting in more babies than twins being delivered")=1-P("delivery of twins")=1-128665/136328=7663/136328~=5.62%#

B - Probability of a delivery being quadruplets or quintuplets

There were #468+85=553# events that satisfy the condition out of all the listed deliveries, and so:

#P("delivery was a quad or quint")=553/136328~=0.41%#

C - Probability a baby is part of a triplet

For this we need to expand our table to include the number of babies in each event (so there are 2 babies in each twins birth, 3 babies in each triplets birth, etc):

#((color(white)(0),"no. events", "no. babies"),("Twins",128665,257330),("Triplets",7110,21330),("Quadruplets",468,1872),("Quintuplets",85,425),("Total",136328,280957))#

There are #21,330# babies from triplet deliveries compared to #280,957# total babies in the births listed:

#P("baby is a part of a triplet")=21330/280957~=7.60%#