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Probability question

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Probability question

by sanaa.rizwan » Mon Apr 08, 2013 4:31 pm
NP: OG PS 10

Raffle tickets number consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 2

A. 2/5
B. 2/7
C. 33/83
D. 99/250
E. 100/249
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by Anju@Gurome » Mon Apr 08, 2013 7:24 pm
sanaa.rizwan wrote:Raffle tickets number consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 2
Number of integers between 101 and 350, both inclusive = (350 - 101) + 1 = 250
Now, the numbers with a hundreds digit of 2 are the numbers between 200 and 299, both inclusive.
So, number of integers with a hundreds digit of 2 = (299 - 200) + 1 = 100

Required probability = 100/250 = 2/5

The correct answer is A.
Anju Agarwal
Quant Expert, Gurome

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