Question

A video game randomly chooses your car color and type. The probability of getting a red car is 0.20, 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 0.60.
B.The probability of getting a red car or a convertible is 0.08.
C.The probability of getting a red convertible is 0
D.The probability of getting a red convertible is 0.08

Answer 1

D.The probability of getting a red convertible is 0.08

Explanation:

ap3x

Answer 2

Answer: Option 'D' is correct.

Explanation:

Since we have given that

Event A: You get a red car

and

`P(A)=0.20`

Similarly,

Event B: You get a convertible

and

`P(B)=0.40`

So, if A and B are independent , then they must satisfy,

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

So,

`P(A\cap B)=0.4* 0.2=0.08`

Hence, Option 'D' is correct, which states that the probability of getting a red convertible is 0.08.