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In the diagram above, points A, B, C, D, and E represent the
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In the diagram above, points A, B, C, D, and E represent the [#permalink] New post  28 Apr 2012, 20:31
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In the diagram above, points A, B, C, D, and E represent the five teams in a certain league in which each team must play each of the other teams exactly once. The segments connecting pairs of points indicate that the two corresponding teams have already played their game. The arrows on the segments point to the teams that lost; the lack of an arrow on a segment indicates that the game ended in a tie. After all games have been played, which of the following could NOT be the percent of games played that ended in a tie?

A. 10%
B. 20%
C. 30%
D. 40%
E. 50%

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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink] New post  28 Apr 2012, 20:43
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Out of the 7 matches displayed in the diagram 2 are ties (AC,ED).

Total matches to be played = 5C2 = 10

Remaining matches to be played= 10-7 =3

the maximum ties that can happen = 2+3 =5
minimum ties that can happen =2

So , percentage of minimum ties = (2/10) *100 =20%

Hence ,A is the answer as 10% is not possible.
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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink] New post  18 Sep 2013, 06:04
Doesn't look like a 700+ question
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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink] New post  22 Sep 2013, 05:57
b2bt wrote:
Doesn't look like a 700+ question


Yes, but the key is too just take out the minimum percentage that is possible, which in this case is 20% and be done with it.
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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink] New post  15 Sep 2017, 11:30
Total number of matches = 5C2= 10
From the figure, we can see that the minimum number of ties are 2.
So, option A (1/10*100= 10%) is ruled out for sure.

Hence, answer is A.
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In the diagram above, points A, B, C, D, and E represent the [#permalink] New post  30 Apr 2018, 00:59
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boomtangboy wrote:
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In the diagram above, points A, B, C, D, and E represent the five teams in a certain league in which each team must play each of the other teams exactly once. The segments connecting pairs of points indicate that the two corresponding teams have already played their game. The arrows on the segments point to the teams that lost; the lack of an arrow on a segment indicates that the game ended in a tie. After all games have been played, which of the following could NOT be the percent of games played that ended in a tie?

A. 10%
B. 20%
C. 30%
D. 40%
E. 50%


Total games possible between teams = 5C2 = 10
Total games played = 7
Total games already ended up in tie = 2
Total games left to be played = 3

So, Maximum games that can end in tie = 5
Minimum games that can end in tie = 2

So,Maxm percentage of game that can end in a tie = 50%
Minm percentage of game that can end in a tie = 20%

Hence option A is the answer.
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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink] New post  11 Sep 2020, 06:17
Why is this tagged probability?
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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink] New post  12 Oct 2020, 05:36
The diagram can appear a little intimidating at first but it's simply telling us that 7 games have been played (2 of which ended in a draw)

5C2: 10 games

7 games have ALREADY been played. This means we have 3 games left to be played.

The 3 games may or may not end in a draw. We already know 2 games ended in a draw. So at a minimum after 10 games, 2 will end in a draw. At a maximum after 10 games, 5 will end in a draw.

Answer: 10% (1 out of 10 games in a draw) is not possible as we already know for a fact that 2 games ended in a draw.
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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink]
12 Oct 2020, 05:36
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