There are two lines in the neighbourhood supermarket. In the first line there are 2 people, one with 10 items in her cart and the other with 14 items. In the second line there are 3 people, one with 11 items, one with 12 items and one with 13 items. What is the probability of randomly picking 2 people (it doesn't matter from which line), whose combined number of items is 23?  Choose the correct choice from the following answers:
A) 1/10 B) 1/5 C) 2/5 D) 6/25 E) 16/25
First line we have 10 and 14   Second line we have 11,12 and 13.....Total 5 possibilities..   We need to get total 23 , then we can take pairs of ( 10,13) and (11,12)   We have total 5 possibilities...when we take 10 as first choice 13 can be second choice out of remaining 4.   1/5 * 1/4 = 1/20...we take ( 10,13) or ( 13,10)....we get two different cases.. 1/20*2 = 1/10.   Similarly for (11,12)... we get 1/10.   Total 1/10+1/10 = 1/5.   Answer:1/5
<result>B</result>
There are two lines in the neighbourhood supermarket. In the first line there are 2 people, one with 10 items in her cart and the other with 14 items. In the second line there are 3 people, one with 11 items, one with 12 items and one with 13 items. What is the probability of randomly picking 2 people (it doesn't matter from which line), whose combined number of items is 23?