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# When a player in a certain game tossed a coin a number of

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When a player in a certain game tossed a coin a number of [#permalink]  15 Jan 2008, 10:01
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When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?
1) The player tossed the coin 24 times
2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.
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Re: PS: Probability [#permalink]  15 Jan 2008, 10:04
netcaesar wrote:
When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?
1) The player tossed the coin 24 times
2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.

1:2x+4=24 --> 2x=20 --> x=10 so he tossed the heads x+4--> 14 times.

2: we are given another ratio but this doesnt change anything.

x + 3(x+4)=52 --> 4x+12=52 --> 4x=40 --> x=10 again 14 times is the answer.

D
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Re: PS: Probability [#permalink]  27 Jan 2008, 16:37
D

x+y=24 and x=y+4, where x=# heads, y=# tails

stat 1: y+4+y=24 --> y=10, x=14. suff.

stat 2: 3x+y=52 --> 3y+12+y=52 --> 4y=40 -->y=10, x=14. suff.
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Re: PS: Probability [#permalink]  27 Jan 2008, 21:40
netcaesar wrote:
When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?
1) The player tossed the coin 24 times
2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.

T+(4+T) = 24

T = 10

H = (4+T) = 14

from (ii)

T +3*(4+T) = 52

T = 10

H = 14

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Re: PS: Probability [#permalink]  27 Sep 2009, 05:46
When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?
1) The player tossed the coin 24 times
2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.

Soln:
1) The player tossed the coin 24 times
Total number of heads = H
Total number of tails = T
H + T = 24
H - T = 4
Solving both equations we get H = 14
Statement 1 alone is sufficient.

2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.
Total number of heads = H
Total number of tails = T
3H + T = 52
H - T = 4
Solving these two equations we get H = 14
Statement 2 alone is sufficient.

Thus D.
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Re: PS: Probability [#permalink]  14 Feb 2010, 13:46
netcaesar wrote:
When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?
1) The player tossed the coin 24 times
2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.

let total of tosses be n
no of tails T
no of Heads H = T + 4
Also n = H + T = 2T + 4

S1: n = 24... Therefore SUFF.... as 24 = 2T + 4 gives T = 10...& H = 14

S2: 3H + T = 52 ... 3T + 12 + T = 52 ...gives T = 10 & H = 14. SUFF...

D..
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Re: PS: Probability [#permalink]  14 Feb 2010, 21:59
1) The player tossed the coin 24 times
2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.

given for certain number of times 4 more heads than tails

1) if coin is tossed 24 times then h=14 and t=10

so 1 is sufficient

2)3x+x-4=52
4x=56
so x=14

so my choice is D
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Re: PS: Probability [#permalink]  14 Feb 2010, 22:17
netcaesar wrote:
When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?
1) The player tossed the coin 24 times
2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.

x - Number of tails

1) x+x+4 = 24 can solve for x. Sufficient
2) 3(x+4) + x = 52 can solve for x. Sufficient

Hence D.

Is this really a 700 - plus questions as mentioned by the tag???
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Re: PS: Probability [#permalink]  16 Oct 2010, 04:31
probability sucks...don't have much command on it...
Re: PS: Probability   [#permalink] 16 Oct 2010, 04:31
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