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• 1987 AIME Problems/Problem 10
  ...gine that Al is taking <math>3</math> steps downwards every second, but we throw hands at him immediately after each second, such that he flinches and moves
  7 KB (1,187 words) - 16:21, 27 January 2024
• 2007 USAMO Problems/Problem 4
  ...r and 4 lines of cells each of size 2006 connected to the center). We next throw out all the [[geometry]] of this situation, so that we have a completely un
  10 KB (1,878 words) - 14:56, 30 June 2021
• 2008 AMC 10B Problems/Problem 16
  ...in an odd sum is <math>\frac{1} {2}</math>, because regardless of what we throw on the first die, we have <math>\frac{1} {2}</math> probability that the se
  2 KB (357 words) - 22:58, 4 October 2023
• KGS math club
  ...tive integer on each face, so that all 36 sums that can be obtained from a throw of the dice are prime. Choose the 12 numbers so as to minimise their sum.
  22 KB (3,358 words) - 15:17, 18 July 2017
• 2007 Alabama ARML TST Problems/Problem 13
  That is, situation <math>H</math> occurs either after the very first throw (if it was a head), or after a sequence of throws that ends with "... tail ...rac 78</math> this does not happen, and we throw a tail. The first tail we throw takes us into the situation <math>T</math>.
  2 KB (374 words) - 11:48, 9 December 2022
• 2009 AMC 10A Problems/Problem 22
  ...ion is symmetric at this moment. Hence after we draw them, attach them and throw the dice, the probability of getting some pair of colors is the same for an
  4 KB (721 words) - 13:48, 1 November 2023
• 2009 AIME II Problems/Problem 8
  With probability <math>\frac 1{36}</math>, both throw a six and we win. ...x. In this case, we win if the remaining player throws a six in their next throw, which happens with probability <math>\frac 16</math>.
  5 KB (859 words) - 19:54, 27 January 2024
• 2004 AMC 8 Problems
  ...regions are the whole numbers <math>1</math> through <math>10</math>. Each throw hits the target in a region with a different value. The scores are: Alice <
  13 KB (1,860 words) - 18:51, 13 June 2024
• 2011 USAMO Problems/Problem 6
  ...math> each set is in 45 triples and thus will have 45 elements. We can now throw in 60 more elements outside the union of the <math>A_i</math> and we are do
  7 KB (1,209 words) - 12:50, 25 August 2023
• 2005 CEMC Gauss (Grade 7) Problems
  ...n one of them misses the ball. If the game ends when the <math>29th</math> throw is missed, how far apart are they standing and who misses catching the ball
  16 KB (2,317 words) - 03:54, 24 October 2014
• 2006 SMT/General Problems
  ...ir free throws, respectively. What is the probability that after each free throw they take, Alex has made at least as many free throws as Brian if Brian sho
  10 KB (1,477 words) - 16:02, 27 May 2012
• 2004 AMC 8 Problems/Problem 18
  ...regions are the whole numbers <math>1</math> through <math>10</math>. Each throw hits the target in a region with a different value. The scores are: Alice <
  2 KB (262 words) - 11:53, 23 March 2020
• 2014 AIME I Problems/Problem 8
  ...sible by 100 squared ends in four zeros. As <math>a</math> cannot be 0, we throw out this possibility, as the only solution in this case is <math>0</math>.
  12 KB (1,962 words) - 08:40, 4 November 2022
• 2005 CEMC Gauss (Grade 7) Problems/Problem 19
  ...n one of them misses the ball. If the game ends when the <math>29th</math> throw is missed, how far apart are they standing and who misses catching the ball Therefore, the <math>29th</math> throw is the first throw made at <math>15 m.</math>
  1 KB (240 words) - 12:42, 23 October 2014
• 2015 AMC 12B Problems/Problem 9
  ...cases: (a) Larry wins on the first throw or (b) Larry wins after the first throw. a: The probability that Larry wins on the first throw is <math>\frac{1}{2}</math>.
  2 KB (302 words) - 16:19, 7 September 2017
• Searching the community
  ...the query "AND" as a command linking two nonexistent terms, and would thus throw an error. Similarly, the search term "[[incenter]] \AND [[circumcenter]]" w
  21 KB (3,334 words) - 23:53, 23 March 2022
• Infinite Defenestration
  ...t relies on that given <math>n</math> people at a party, it is possible to throw <math>1</math> member out the window, leaving <math>n - 1</math> members re ...ve <math>i < n</math> members defenestrated, <math>n - i</math> remain. We throw out <math>1</math> member, leaving us with <math>i + 1</math> members defen
  1 KB (253 words) - 20:30, 29 June 2022
• MIE 2015
  ...l someone gets the number 6. What's the probability of the first player to throw the dice to win?
  7 KB (1,127 words) - 18:23, 11 January 2018
• 2018 AIME II Problems/Problem 9
  ...d <math>\left(18, -\frac{23}{2}\right)</math>, respectively. We'll have to throw in the projection of the centroid of <math>\bigtriangleup JAB</math> to the
  5 KB (782 words) - 02:30, 5 January 2024
• 2022 AIME II Problems/Problem 7
  ...th>, we have <cmath>\frac{AP}{AP+30}=\frac14 \implies AP=10.</cmath> Next, throw everything on a coordinate plane with <math>A=(0, 0)</math> and <math>B = (
  7 KB (991 words) - 20:43, 1 January 2024

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