In an experiment, the probability that event A occurs is

and the probability that event B

occurs is

If A and B are independent events, what is the probability that A and B both occur?

Simplify any fractions.

Step-by-step explanation:

For two events A and B which are independent events, the probability of A occurring does not affect the probability of B occurring and vice versa. Therefore the probability of both event occurring is equal to the product of their individual probabilities.

Given that: P(A) = and P(B) = .

Probability that A and B both occur = P(A and B) = P( A ∩ B) = P(A) P(B)

Therefore P(A and B) =

P(A and B) =

correct answers below:

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right