SOLUTION: There are 100 people in line. Jack is the 28th person in line and Jill is the 68th person in line. If a person in line is chosen at random, what is the probability that the person

Question 117443: There are 100 people in line. Jack is the 28th person in line and Jill is the 68th person in line. If a person in line is chosen at random, what is the probability that the person is standing between Jack and Jill?
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Let's assume that each of the persons in the line has a number ... including Jack and Jill.
Therefore, the pool of numbers is 100. Also assume that the persons in the line have the
number that represents their position in the line. (Jack's number would be 28 and Jill's 68.)
.
How many of those 100 numbers are between 28 and 68? Start with 29 and end with 67. There are 39
numbers between 28 and 68. So if you draw a number at random from a pool of 100 numbers you
have 39 chances that the number you pick is in the range of 29 through 67. Therefore,
the probability of picking one of those numbers is
.
Hope this helps you to understand the problem.
.
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