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?

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

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step-by-step explanation:

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