Question

Hey video game randomly chooses your car color and type the probability of getting a red card is 0.20 and the probability of getting a convertible is 0.30

Event A= your get a red car
Event B=you get a convertible
A and B are independent events if

Answer 1

The probability of getting a red convertible is 0.06

Explanation:

Just took the quiz on APEX :)

Answer 2

A and B are independent events if P(A ∩ B) = 0.06

Explanation:

Two events A and B are independent if the probability of occurrence of A does not influence the occurrence of B.

Mathematically it is written that A and B are independent events if and only if:

P(A ∩ B) = P(A)P(B)

We know that:

P(A) = 0.20

P(B) = 0.30

Then A and B are independent if:

P(A ∩ B) = (0.20)(0.30)

P(A ∩ B) = 0.06

Finally A and B are independent events if P(A ∩ B) = 0.06