SOLUTION: 1. A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 100 seniors, 150 juniors, and 200 sophomores who applied. E

Algebra ->  Probability-and-statistics -> SOLUTION: 1. A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 100 seniors, 150 juniors, and 200 sophomores who applied. E      Log On


   



Question 54274: 1. A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 100 seniors, 150 juniors, and 200 sophomores who applied. Each senior's name is placed in the lottery 3 times; each junior's name, 2 times; and each sophomore's name, 1 time. What is the probability that a senior's name will be chosen?
What I did was added up all the seniors, juniors and sophomores that applied, being 450 in total. Then I did 100/450 = 2/9. I don't know if I'm doing it right. What I remember about probability is your total number is the denominator and whatever they're asking for is the numerator, right?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
There are 100*3=300 senior tabs
There are 150*2=300 junior tabs
There are 200*1=200 soph tabs
Prob (select a senior) = 300/800=3/8
Cheers,
Stan H.