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# Raffle tickets numbered consecutively from 101 through 350

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Raffle tickets numbered consecutively from 101 through 350 [#permalink]  30 Jul 2012, 01:05
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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

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 ?

(A) 2/5
(B) 2/7
(C) 33/83
(D) 99/250
(E) 100/249

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GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

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[Reveal] Spoiler: OA

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Math Expert
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Kudos [?]: 62030 [0], given: 9426

Re: Raffle tickets numbered consecutively from 101 through 350 [#permalink]  30 Jul 2012, 01:06
Expert's post
SOLUTION

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 ?

(A) 2/5
(B) 2/7
(C) 33/83
(D) 99/250
(E) 100/249

The number of integers from 101 to 350, inclusive is 250, out of which 100 (from 200 to 299) will have a hundreds digit of 2. Thus the probability is 100/250=2/5.

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Re: Raffle tickets numbered consecutively from 101 through 350 [#permalink]  30 Jul 2012, 01:47
numbers with hundreds digit 2 are 200-299
100 such numbers

total numbers are 101-350
250 such numbers

probability would be $$\frac{100}{250}$$
$$\frac{2}{5}$$
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Re: Raffle tickets numbered consecutively from 101 through 350 [#permalink]  03 Aug 2012, 04:05
Expert's post
SOLUTION

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 ?

(A) 2/5
(B) 2/7
(C) 33/83
(D) 99/250
(E) 100/249

The number of integers from 101 to 350, inclusive is 250, out of which 100 (from 200 to 299) will have a hundreds digit of 2. Thus the probability is 100/250=2/5.

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Re: Raffle tickets numbered consecutively from 101 through 350 [#permalink]  07 Apr 2014, 18:44
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Re: Raffle tickets numbered consecutively from 101 through 350 [#permalink]  15 Mar 2015, 07:45
Bunuel, why do we think that the question means 'inclusive' 101 and 350?
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Re: Raffle tickets numbered consecutively from 101 through 350 [#permalink]  15 Mar 2015, 07:50
Expert's post
Ergenekon wrote:
Bunuel, why do we think that the question means 'inclusive' 101 and 350?

"Raffle tickets numbered consecutively from 101 through 350", so both 101 and 350 are inclusive.
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Re: Raffle tickets numbered consecutively from 101 through 350 [#permalink]  15 Mar 2015, 07:53
Then if it didn't mean inclusive, how else it could present the problem? Could you answer, pls?
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Re: Raffle tickets numbered consecutively from 101 through 350 [#permalink]  15 Mar 2015, 07:57
Expert's post
Ergenekon wrote:
Then if it didn't mean inclusive, how else it could present the problem? Could you answer, pls?

Tickets numbered consecutively from 101, for me, naturally means including 101. There are other ways to write that if 101 were not included, for example "tickets numbered consecutively from 102".
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Re: Raffle tickets numbered consecutively from 101 through 350 [#permalink]  15 Mar 2015, 08:00
Thank you very much Bunuel for your help.
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Re: Raffle tickets numbered consecutively from 101 through 350 [#permalink]  15 Mar 2015, 08:15
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Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

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 ?

(A) 2/5
(B) 2/7
(C) 33/83
(D) 99/250
(E) 100/249

Practice Questions
Question: 10
Page: 153
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

Total numbers = 350 -101 +1 = 250
favorable cases = 299-200 +1 = 100
Probability = 100/250 = 2/5

option A.
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Re: Raffle tickets numbered consecutively from 101 through 350   [#permalink] 15 Mar 2015, 08:15
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# Raffle tickets numbered consecutively from 101 through 350

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