oss198 wrote:
Set A contains three different positive odd integers and two different positive even integers; set B contains two different positive odd integers and three different positive even integers. If one integer from set A and one integer from set B are chosen at random, what is the probability that the product of the chosen integers is even?
(A) 6/25
(B) 2/5
(C) 1/2
(D) 3/5
(E) 19/25
Actually what this question means is that all the elements are unique both within set A and also with respect to set B
Consider the following scenarios:
Scenario 1:
Set A :{ 1,3,5,2,4} Set B: {1,3,2,4,6} Here all the elements within a set are unique BUT are NOT unique with respect to the other set.
Required probability : \(\frac{3}{5}\)
Scenario 2:
Set A :{ 1,3,5,4,6} Set B: {7,9,8,10,12} Here all the elements within a set are unique AND are also unique with respect to the other set.
Required probability : \(\frac{19}{25}\)
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