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A survey of investors finds that 60% use a full service brokerage firm to invest in stocks, 30% trade stocks online and 24% do both. The probability that an investor selected at random uses a full service brokerage firm or trades stocks online is:_______.
a. 90%
b. 66%
c. 34%
d. 54%
e. 60%

Respuesta :

MrRoyal

Answer:

[tex]P(Service\ Brokerage\ or\ Online) = 66\%[/tex]

Step-by-step explanation:

Given

[tex]P(Service\ Brokerage) = 60\%[/tex]

[tex]P(Online) = 30\%[/tex]

[tex]P(Both) = 24\%[/tex]

Required

Determine P(Service Brokerage or Online)

In probability:

[tex]P(A\ or\ B) = P(A) + P(B) - P(Both)[/tex]

In this case:

[tex]P(Service\ Brokerage\ or\ Online) = P(Service\ Brokerage) + P(Online) - P(Both)[/tex]

Substitute values:

[tex]P(Service\ Brokerage\ or\ Online) = 60\% + 30\% - 24\%[/tex]

[tex]P(Service\ Brokerage\ or\ Online) = 66\%[/tex]

Hence, the required probability is 66%

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