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?
~~~~~~~~~~~~~~~~~~~~


<pre>
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(both)/P(B)}}} = {{{0.2/0.4}}} = {{{1/2}}|} = 0.5.


<U>ANSWER</U>.  The conditional probability under the problem's question is  {{{1/2}}} = 0.5 = {{{5/10}}} = 50%.
</pre>

Solved.