SOLUTION: A company sells two products, A and B. The probability that a customer will purchase product A is 0.6, and the probability that a customer will purchase product B is 0.4. The pro

Algebra ->  Probability-and-statistics -> SOLUTION: A company sells two products, A and B. The probability that a customer will purchase product A is 0.6, and the probability that a customer will purchase product B is 0.4. The pro      Log On


   



Question 1205438: A company sells two products, A and B. The probability that a customer will purchase
product A is 0.6, and the probability that a customer will purchase product B is 0.4.
The probability that a customer will purchase both products is 0.2. What is the
probability that a customer will purchase product A, given that they also purchased
product B?

Answer by ikleyn(52770) About Me  (Show Source):
You can put this solution on YOUR website!
.
A company sells two products, A and B. The probability that a customer will purchase
product A is 0.6, and the probability that a customer will purchase product B is 0.4.
The probability that a customer will purchase both products is 0.2. What is the
probability that a customer will purchase product A, given that they also purchased
product B?
~~~~~~~~~~~~~~~~~~~~

You are actually GIVEN that this randomly selected customer bought both products, A and B.


It happens with the probability 0.2.

                                                         
Next, they want you find this conditional probability  P%28both%29%2FP%28B%29 = 0.2%2F0.4 =  = 0.5 = 5%2F10 = 50%.

Solved.