There are 300 students in a middle school. Every 19 in 50 students qualifies for honor roll. However, the school can give honor roll to only 75 students. There will be a lottery to choose the 75 students. What is the probability that you will be in and lose the lottery? (Don't include the percent sign)
300 students with 19 out of 50 qualifying means 114 qualify
only 75 are picked via the lottery
which means 39 qualifiers do NOT get picked
39/114 = 13/38 = 0.3421052631578947 (I think)
Maybe this: (as I am not sure what the question is asking)
probability that you are in is 114/300
probability that you LOSE the lottery 39 / 114
multiplied together = 39/300 = 13/100