12. George is the third of five children. He has two older sisters (S) and two younger
brothers (B). This arrangement can be
written as SSBBB.

a) Use a tree diagram to determine the
probability of a family with five
children beginning with two sisters.

b) Is the probability of a family of five
beginning with two sisters the same as
the probability of a family of five
ending with two sisters? Explain.

c) What is the probability of the sixth
child being a boy?

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation: