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

Answer: Option 'D' is correct.

Step-by-step 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,

$P(A\cap B)=0.4\times 0.2=0.08$

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