Comments on: Probabilities Of A Happy Chinese New Year http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year Sassy O Level Maths Tuition, Questions & Tips from Singapore's Favourite Private Tutor Sun, 05 Feb 2012 17:08:39 +0000 hourly 1 By: Miss Loi http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-15375 Miss Loi Tue, 28 Oct 2008 17:11:28 +0000 http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-15375 LOL first of time Miss Loi would like to state that such a question will <i>confirm chop stamp</i> NEVER EVER appear in your exam ... Heee ... So we have: <ul> <li>P(Miss Thong doesn't draw the 發) = 15/16</li> <li>P(Trusty doesn't draw the 發) = 14/15 (coz less one tile by the time it comes to Trusty's turn)</li> <li>P(Newbie doesn't draw the 發) = 13/14 (coz less one tile by the time it comes to Newbie's turn)</li> <li>P(Newbie draws the 發 AND she throws it out) = (1/14)(1/2)</li> <li>P(Miss Loi draws the 發) = 1/13 (i.e. 自摸! - can only reach this stage if Newbie doesn't throw the 發 out for Miss Loi to win)</li> </ul> To obtain the probability of Miss Loi winning, you'll need to add up all the possible cases that she will win i.e. <ol> <li><strong class="highlight">自摸 Case!</strong> i.e. P(Miss Thong doesn't draw the 發) x P(Trusty doesn't draw the 發) x P(Newbie doesn't draw the 發) x P(Miss Loi draws the 發)</li> <li><strong class="highlight">Thank You Newbie Case!</strong> i.e. P(Miss Thong doesn't draw the 發) x P(Trusty doesn't draw the 發) x P(Newbie draws the 發 AND foolishly throws it out for Miss Loi to win!)</li> </ol> ∴ P(Miss Loi wins!) = (15/16)(14/15)(13/14)(1/13) + (15/16)(14/15)(1/14 x 1/2) = 1/16 + 1/32 = 3/32 So <b>Anoneemers</b> would you like to join us at the mahjong table? ;) LOL first of time Miss Loi would like to state that such a question will confirm chop stamp NEVER EVER appear in your exam ... Heee ...

So we have:

  • P(Miss Thong doesn't draw the 發) = 15/16
  • P(Trusty doesn't draw the 發) = 14/15 (coz less one tile by the time it comes to Trusty's turn)
  • P(Newbie doesn't draw the 發) = 13/14 (coz less one tile by the time it comes to Newbie's turn)
  • P(Newbie draws the 發 AND she throws it out) = (1/14)(1/2)
  • P(Miss Loi draws the 發) = 1/13 (i.e. 自摸! - can only reach this stage if Newbie doesn't throw the 發 out for Miss Loi to win)

To obtain the probability of Miss Loi winning, you'll need to add up all the possible cases that she will win i.e.

  1. 自摸 Case! i.e. P(Miss Thong doesn't draw the 發) x P(Trusty doesn't draw the 發) x P(Newbie doesn't draw the 發) x P(Miss Loi draws the 發)
  2. Thank You Newbie Case! i.e. P(Miss Thong doesn't draw the 發) x P(Trusty doesn't draw the 發) x P(Newbie draws the 發 AND foolishly throws it out for Miss Loi to win!)

∴ P(Miss Loi wins!) =
(15/16)(14/15)(13/14)(1/13) + (15/16)(14/15)(1/14 x 1/2)
= 1/16 + 1/32 = 3/32

So Anoneemers would you like to join us at the mahjong table? ;)

]]> By: Anoneemers http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-15160 Anoneemers Sat, 25 Oct 2008 09:36:10 +0000 http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-15160 [pmath]Sianz mahjong so hard to understand...nid mahjong+maths experts to solve and P(a person is good in both mahjong and maths)=1/100 Is the answer 15/16 X 14/15 X 13/14 X 1/13 = 1/16 (assuming all other players didnt discard their tiles) or 15/16 X 15/16 X 15/16 X 1/16 = 3375 /65536 ? (assuming all discard if not the 發财 tile) P.S.If this question ever comes out in exam i will probably write P(win)=1/2 (win or lose XD).[/pmath] Sianz mahjong so hard to understand...nid mahjong+maths experts to solve and
P(a person is good in both mahjong and maths)=1/100
Is the answer 15/16 X 14/15 X 13/14 X 1/13 = 1/16 (assuming all other players didnt discard their tiles)
or 15/16 X 15/16 X 15/16 X 1/16 = 3375 /65536 ? (assuming all discard if not the 發财 tile)

P.S.If this question ever comes out in exam i will probably write P(win)=1/2 (win or lose XD).

]]> By: Miss Loi http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-3086 Miss Loi Sat, 09 Feb 2008 11:00:10 +0000 http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-3086 Shhh ... not so loud! Miss Loi's already feeling utterly ashamed that her wily 老千 maneuver was caught by a <i>mahjong</i> newbie! But then again, the question essentially remains unchanged, and don't you agree that a 發财 sounds more prosperous than a 紅中? :P Shhh ... not so loud!

Miss Loi's already feeling utterly ashamed that her wily 老千 maneuver was caught by a mahjong newbie!

But then again, the question essentially remains unchanged, and don't you agree that a 發财 sounds more prosperous than a 紅中? :P

]]> By: FoxTwo http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-3085 FoxTwo Sat, 09 Feb 2008 05:15:28 +0000 http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-3085 You changed the question!!!! From a 中 tile you changed it to a 發 tile! CHEAT!!! :p You changed the question!!!!

From a 中 tile you changed it to a 發 tile!

CHEAT!!! :p

]]> By: Miss Loi http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-3084 Miss Loi Fri, 08 Feb 2008 05:23:31 +0000 http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-3084 <b>FoxTwo:</b> Relax ... just pulling your leg :D <b>game:</b> 恭喜恭喜！您现在在大陆哪里过年啊？ <b>ByPasser:</b> Oh thanks! Wishing you many many Thirteen Wonders! FoxTwo: Relax ... just pulling your leg :D

game: 恭喜恭喜！您现在在大陆哪里过年啊？

ByPasser: Oh thanks! Wishing you many many Thirteen Wonders!

]]> By: ByPassing http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-3082 ByPassing Thu, 07 Feb 2008 16:39:02 +0000 http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-3082 Yah~Wishing you ratmarkable probability on the mahjong table. Yah~Wishing you ratmarkable probability on the mahjong table.

]]> By: game http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-3081 game Thu, 07 Feb 2008 15:49:22 +0000 http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-3081 In my City everyone like playing Mahjong I am from chinese In my City everyone like playing Mahjong I am from chinese

]]> By: FoxTwo http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-3078 FoxTwo Wed, 06 Feb 2008 14:01:26 +0000 http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-3078 Err... no SMC, I'm Chinese. I just never bothered to learn how to play Mahjong the proper way :) Besides, the only thrill of playing Mahjong is to win money, and since I'm a non-gambler, no incentives to learn it. Err... no SMC, I'm Chinese. I just never bothered to learn how to play Mahjong the proper way :)

Besides, the only thrill of playing Mahjong is to win money, and since I'm a non-gambler, no incentives to learn it.

]]> By: Miss Loi http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-3073 Miss Loi Wed, 06 Feb 2008 10:47:03 +0000 http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-3073 imp, and you'll have a faerie year abound with great travels, great food, and love all around you :) P.S. Errr ... probabilities are probably one of the most practical and down-to-earth topics in maths. Take this case ... you see ... if you're a true-blue <i>mahjong tai-tai</i> there are really only <em>two</em> ways in which Miss Loi can win when it reaches her turn ;) imp, and you'll have a faerie year abound with great travels, great food, and love all around you :)

P.S. Errr ... probabilities are probably one of the most practical and down-to-earth topics in maths. Take this case ... you see ... if you're a true-blue mahjong tai-tai there are really only two ways in which Miss Loi can win when it reaches her turn ;)

]]> By: imp http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-3072 imp Wed, 06 Feb 2008 09:53:45 +0000 http://www.exampaper.com.sg/questions/e-maths/probabilities-of-a-happy-chinese-new-year#comment-3072 Arrgh! Screw probabilities! I flunked that royally years ago. I say, you WILL have a great year ahead Miss Loi, abound with calm, health and peace and determination in the temple! Arrgh! Screw probabilities! I flunked that royally years ago. I say, you WILL have a great year ahead Miss Loi, abound with calm, health and peace and determination in the temple!

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