Source: Official Guide for the GMAT 13th Ed. Problem Solving; #10 Official Guide for the GMAT 2015 14th Ed. Problem Solving; #10

3

Raffle tickets numbered consecutively from 101 through

Raffle tickets numbered 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?

3 Explanations

1

SNIGDHA JAISWAL

Any video link for this chapter? I couldn't figure out the inclusive part.

Jan 29, 2017 • Comment

Adam

Hi Snigdha,

Yes, we have a lesson on this:

https://gmat.magoosh.com/lessons/1319-inclusive-counting

Feb 6, 2017 • Reply

1

Zeus Munoz

When looking for a total number of something numbered from V1 to V2 then we have to use the "inclusive counting technique." This means that we have to subtract V1(the smallest number) from V2 (the biggest number) and then add 1. Then we can infer that from 101 to 350 we have 250 numbers (350 - 101)= 249 + 1 = 250. We also know that in this range (101 to 350), only numbers from 200 to 299 have a number with a hundreds digit of 2. Again, we can infer that we have 100 numbers (299 - 200) = 99 + 1 = 100. So we know that the probability is (# of possible outcomes /# of total possibilities) = 100/250 = 2/5.

Jan 25, 2017 • Comment

5

Gravatar Mike McGarry, Magoosh Tutor

Dec 26, 2013 • Comment

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Section 5.3 Problem Solving

Section 5.3 Problem Solving

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