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

Step-by-step 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 $P(A\&B)=P(A)\times P(B)$. 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,

$P(A\&B)=P(A)\times P(B)\\P(A\times B)=0.25\times 0.4=0.1.$

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