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In a class of 28 students, one student is to be elected as

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In a class of 28 students, one student is to be elected as [#permalink] New post 15 Apr 2006, 07:24
In a class of 28 students, one student is to be elected as class rep. Three of the 28 students are running for the position. The three candidates may not vote, but all others must vote. What is the smallest percent of votes with which a candidate could win?

a. 25%
b. 33.34%
c. 34%
d. 36%
e. 50.1%
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 [#permalink] New post 15 Apr 2006, 07:39
Hey Andre,
It's actually not a probability problem. More like a Maths word problem.

I think the answer is d, 36%.

The minimum votes required to win are 9 out of 25.

Thanks,
Vipin
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 [#permalink] New post 15 Apr 2006, 07:44
Ok, I'm struggling with this stuff so any assistance is greatly appreciated... How do you get to 9 out of 25?
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 [#permalink] New post 15 Apr 2006, 07:58
Well since 3 candidates are out, leaves 25 students to vote. Since each of these 25 can vote for either of the 3 candidates, to have a majority the winning candidate should get more than 25 / 3 votes.

But 25 / 3 = 8.33... and since people can only be integers, anybody who gets 9 votes will be a winner.

so the percentage would be 9/25 * 100 = 36%.

HTH...
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 [#permalink] New post 15 Apr 2006, 08:15
Perfect!! Makes total sense. Thanks. I'm extremely mathematically challenged...
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 [#permalink] New post 15 Apr 2006, 09:02
vipin7um wrote:
Well since 3 candidates are out, leaves 25 students to vote. Since each of these 25 can vote for either of the 3 candidates, to have a majority the winning candidate should get more than 25 / 3 votes.

But 25 / 3 = 8.33... and since people can only be integers, anybody who gets 9 votes will be a winner.

so the percentage would be 9/25 * 100 = 36%.

HTH...


Neat way of solving this type of problem
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Re: Probability [#permalink] New post 15 Apr 2006, 11:11
Andre_p wrote:
In a class of 28 students, one student is to be elected as class rep. Three of the 28 students are running for the position. The three candidates may not vote, but all others must vote. What is the smallest percent of votes with which a candidate could win?

a. 25%
b. 33.34%
c. 34%
d. 36%
e. 50.1%


Is they may not vote = they cannot vote?

The three candidates may not vote - means they may vote

so smallest margin could be 10, 9, 9 = 28

therefore % = 10/28 = 0.3571 ~36%
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Re: Probability [#permalink] New post 15 Apr 2006, 17:49
D.

25 voters for 3 post,if they get 8,8,9, the one who gets 9 wins. the smallest percentage of vote must be (9/25)*100 =36%


Andre_p wrote:
In a class of 28 students, one student is to be elected as class rep. Three of the 28 students are running for the position. The three candidates may not vote, but all others must vote. What is the smallest percent of votes with which a candidate could win?

a. 25%
b. 33.34%
c. 34%
d. 36%
e. 50.1%
Re: Probability   [#permalink] 15 Apr 2006, 17:49
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