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.Com
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(52778)   (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   =  =  = 0.5 =  = 50%.

Solved.



RELATED QUESTIONS

The probability that a company will launch the product A and B are 0.45 and 0.60... (answered by ikleyn)
A paint-store chain produces and sells latex and semigloss paint. Based on long-range... (answered by ewatrrr)
10% of company product is deffective.determine the probability that in a random sample... (answered by Fombitz)
There is a .45 probability that John will purchase a new car, a .35 probability that Mary (answered by stanbon)
An electronics firm believes that 70% of the new products they market will be successful. (answered by ewatrrr)
(a) The probability es that a customer will purchase a new car from Green, white, red or... (answered by ikleyn)
A cell phone salesperson has kept records on the customers who visited the store. 40% of (answered by stanbon)
42. A particular product is produced by only two companies – A and B. Company A produces... (answered by Boreal)
Andrew recently opened a barbershop and is trying to figure out how much shaving cream he (answered by Boreal)