<p>I need help solving this problem:</p>
<p>There are 100 people on a line. Andy is the 37th person, and Ali is the 67th person. If a person on line is chosen at random, what is the probablilty that the person is standing between Andy and Ali?</p>
<p>The answer is .29, but I get .31. Can someone explain to me what I am doing wrong and how to solve this problem? Thanks for the help!</p>
<p>You are counting inclusive (meaning both Andy and Ali and those IN BETWEEN THEM). Although the question may seem a bit ambiguous, I think it wants only the people between Andy and Ali, excluding themselves. </p>
<p>To count exclusive, you subtract 1 after the initial subtraction</p>
<p>If Andy is 37th, there are 36 people in front of him. If Ali is 67th, there are 33 people after her. 33+36+2 = 71, 100-71= 29/100 people = 29%</p>