Question

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
O A The probability of getting a red car or a convertible is
0.65.
O B. The probability of getting a red convertible is 0.10.
• C. The probability of getting a red convertible is 0.
O D. The probability of getting a red car or a convertible is 0.10.

Answer 1

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

Explanation:

Independent events:

Two events, A and B, are independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:

`P(A \cap B) = P(A) * P(B)`

In this question:

Event A: Red car -> 0.25 probability

Event B: Convertible car -> 0.4 probability

Independent if:

The probability of getting a red convertible car is:

`P(A \cap B) = P(A) * P(B) = 0.25*0.4 = 0.1`

Thus, the correct answer is given by option B.