A financial planner has three portfolios: A, B, and C. Because investors have different tolerances for risks, 20% of people are likely to invest in portfolio A, 30% are likely to invest in B, and 50% are likely to invest in C. Each portfolio has both stocks and bonds, and investors are equally likely to choose either. This is a tree diagram that represents the probability of investors choosing the different financial products.
What is the probability of an investor choosing only bonds from portfolio B?

Solution :

P(A) = 0.2

Each portfolio has both the stocks and the bonds, and the investors are equally likely to choose either of them.

Let Stock = S

      Bond  = b

Therefore, we have:

Therefore,

                    = 0.5 x 0.3

                    = 0.15

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

c.35

step-by-step explanation:

8+13=21

21+8=29

29+6=35