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 _____.

Answer 1

Answer:The probability of getting a red convertible is 0.10

Explanation:

Answer 2

In probability 2 events are independent if the occurrence of 1 event does not affect the occurrence of the other event. Mathematically, if event A and event B are independent, then
`P(A\&B)=P(A)* P(B)`. For our two events in this problem we have that
`P(A)=0.25` and
`P(B)=0.40`. If these two events are independent, then we should have that,

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

.A and B are independent events if the probability of A and B is 0.1