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. If a student’s name is chosen at random from the names in the lottery, what is the probability that a senior’s name will be chosen?

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Easy Engineering

Probability is the ratio of no: of favourable outcome tototal out comes. Here total out comes = 3 times the total seniors+ 2 times the juniors + 1 times thesophomores = (3x100) +(2x150)+(1x200)=300+300+200 = 800 No. of favourable out comes (seniors) = 100 Therefore, The Probability =100/800=1...
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Native English Speaker with 32 years experience in teaching English and communication skills.

1. senior names= 100 x 3 =300 TOTAL TOTAL No. of names = 100 x3+150 x 2 +200= 800 herefore, Probability of choosing a Seniors name = 300/800 = 3/8
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Trainer

Total number of senior names= 100 x 3 =300 Totals number of names = 100 x3+150 x 2 +200= 800 Probability of choosing a Seniors name = 300/800 = 3/8
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Full Time Dedicated Teacher

3/8
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Tutor

3/8
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Mathematics for JEE Mains/Advanced, XI & XII (All Boards)

3/8
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SME in Mathematics & Statistics

Total number of names placed in the lottery = 100 x 3 + 150 x 2 + 200 x 1 = 300 + 300 + 200 = 800 The probability that a seniors name will be chosen = 300/800 = 3/8
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SME in Mathematics & Statistics

Total number of names placed in the lottery = 100 x 3 + 150 x 2 + 200 x 1 = 300 + 300 + 200 = 800 The probability that a seniors name will be chosen = 300/800 = 3/8
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A true teacher of Science and Math

Probablity is 0.375
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A true teacher of Science and Math

Ans is 0.375
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