From (1, 2, 3, 4, 5, 6), one number is picked out and replaced and one number is picked out again. If the sum of the 2 numbers is 7, what is the probability that the 2 numbers included the number 5? Answers.
A) 1/5
B) 2/5
C) 3/10
D) 3/5
E) 1/3
We know that the sum of two numbers picked was 7. So, there could be the following cases:   (1, 6);   (6, 1);   (2, 5);   (5, 2);   (3, 4);   (4, 3);   Total of 6 cases out of which 2 have 5, thus the probability is 2/6=1/3.   Ans 1/3
<result>E</result>
From (1, 2, 3, 4, 5, 6), one number is picked out and replaced and one number is picked out again. If the sum of the 2 numbers is 7, what is the probability that the 2 numbers included the number 5?