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A video game randomly chooses your car color and type. The probability of
getting a red car is 0.25, and the probability of getting a convertible is 0.40.
Event A = You get a red car.
Event B = You get a convertible.
A and B are independent events if
A. The probability of getting a red car or a convertible is 0.10.
B. The probability of getting a red car or a convertible is 0.65.
C. The probability of getting a red convertible is 0.10.
D. The probability of getting a red convertible is 0.

Respuesta :

The correct option regarding the probabilities of the two events when they are independent are given by:

C. The probability of getting a red convertible is 0.10.

What is the probability of independent events?

If two events, A and B, are independent, the probability of both events happening is the multiplication of the separate probabilities of each event happening, that is.

P(A and B) = P(A) x P(B).

For this problem, the separate probabilities are given by:

  • P(A) = 0.25.
  • P(B) = 0.40.

Then, for them to be independent, we need that:

P(A and B) = 0.25 x 0.40 = 0.10.

A and B means a red convertible car, hence the correct option is:

C. The probability of getting a red convertible is 0.10.

More can be learned about probabilities of independent events at https://brainly.com/question/14478923

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