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When a player in a certain game tossed a coin a number of ti [#permalink]
15 Jan 2008, 10:01

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Difficulty:

35% (medium)

Question Stats:

72% (02:02) correct
28% (01:28) wrong based on 117 sessions

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.

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.

x= tails x+4= heads.

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.

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.

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.

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.. _________________

Cheers! JT........... If u like my post..... payback in Kudos!!

|Do not post questions with OA|Please underline your SC questions while posting|Try posting the explanation along with your answer choice| |For CR refer Powerscore CR Bible|For SC refer Manhattan SC Guide|

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

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 x+4 - Number of heads

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???

Re: When a player in a certain game tossed a coin a number of ti [#permalink]
24 Feb 2014, 05:27

Expert's post

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?

Given: H-4=T. Question: T=?

(1) The player tossed the coin 24 times. H+(H-4)=24. We can find H. Sufficient.

(2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points. 3H+1*(H-4)=52. The same here: we can find H. Sufficient.

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