Suppose that 65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks, 38% end up investing in bonds, and 36% end up investing in both stocks and bonds. What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?

0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).

Step-by-step explanation:

This question is solved treating these probabilities as Venn events.

I am going to say that:

Event A: Person invests in stocks.

Event B: Person invests in bonds.

65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks

This means that

38% end up investing in bonds

This means that

36% end up investing in both stocks and bonds.

This means that

What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?

This is , given by the following equation:

Considering the values we have for this problem:

0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%