Question

probability module exam
geometry b is (bva) 25-26 / probability
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1. 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.

tree diagram image with probabilities 0.2, 0.3, z, and 0.5 for each branch

what is the probability of an investor choosing only bonds from portfolio b?

○ 15%
○ 50%
○ 25%
○ 30%

Explanation:

Step1: Identify probabilities for B

The probability of choosing portfolio B is 0.3 (or 30%), and the probability of choosing bonds from B is 0.5 (since investors are equally likely to choose stocks or bonds).

Step2: Calculate joint probability

To find the probability of choosing only bonds from portfolio B, we multiply the probability of choosing B by the probability of choosing bonds from B. So, $0.3\times0.5 = 0.15$, which is 15%.

Answer:

15%