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• 1970 AHSME Problems/Problem 33
  ...>0000-9999</math>. We have <math>40000</math> digits and each has equal an probability of being <math>0,1,2....9</math>. [[Category: Intermediate Algebra Problems]]
  3 KB (418 words) - 15:54, 15 December 2018
• 1970 AHSME Problems/Problem 31
  ...e-digit numbers in which the sum of the digits is equal to 43, what is the probability that this number will be divisible by 11? [[Category: Intermediate Algebra Problems]]
  1 KB (172 words) - 10:53, 17 April 2022
• 2007 iTest Problems/Problem 19
  ...ail then <math>1</math> head is <math>\frac{1}{4}</math>. From there, the probability of getting <math>n</math> tails then <math>1</math> head is <math>\frac{1}{ [[Category:Intermediate Combinatorics Problems]]
  3 KB (397 words) - 01:18, 29 October 2023
• 2007 iTest Problems/Problem 21
  What is the probability that the value of the expression James wrote down is <math>7</math>? ...signs and minus signs between consecutive ones is <math>2^{14}</math>, the probability of getting a <math>7</math> is <math>\boxed{\textbf{(L) } \frac{1001}{2^{14
  2 KB (247 words) - 03:34, 14 June 2018
• 2007 iTest Problems/Problem 36
  ...n, m and n are two relatively prime positive integers such that m/n is the probability that the equation <math>x^4+25b^2=(4b^2-10b)x^2</math> has <math>\textit{at ...fore, in interval notation, <math>b \in [-17,0) \cup [5,17]</math>, so the probability that the equation has at least two distinct real solutions when <math>b</ma
  2 KB (276 words) - 15:49, 20 June 2018
• 2007 iTest Problems/Problem 42
  ...ming the stuntman is equally likely to land on any point in the field, the probability that he lands closer to the fence than to the flag pole can be written in s ...etry]], the square can be divided into four look-alike parts. To find the probability of landing closer to the fence, subtract the outlined red area from the are
  3 KB (524 words) - 23:01, 17 June 2018
• 2007 iTest Problems/Problem 44
  ...> and <math>b</math> are natural numbers such that <math>a/b</math> is the probability that <math>N</math> and <math>n^3-36n</math> are relatively prime, find the ...nce a number is picked at random from <math>2007^{2007}</math> values, the probability that <math>N</math> and <math>n^3 - 36n</math> are relatively prime is <mat
  2 KB (305 words) - 23:24, 14 June 2018
• 2007 iTest Problems/Problem 59
  ...y many games (eh, they're in Physicist Heaven, we can bend the rules), the probability that they are ever tied in total wins after they start (they have the same ...number of Fermi wins followed by the number of Feynman wins, and call the probability of Fermi winning <math>p</math>.
  3 KB (528 words) - 10:56, 16 April 2024
• Mock AIME 5 2005-2006 Problems/Problem 7
  ...also lands completely within one of the circles. Let <math>P</math> be the probability that, when flipped onto the grid, the coin lands completely within one of t [[Category:Intermediate Number Theory Problems]]
  853 bytes (134 words) - 21:18, 8 October 2014
• 2012 UNCO Math Contest II Problems/Problem 8
  The probability that a six is rolled on any given roll is <math>1/6</math>, so on average i [[Category:Intermediate Combinatorics Problems]]
  919 bytes (151 words) - 15:09, 1 August 2020
• 2014 UNCO Math Contest II Problems/Problem 8
  ...Alice makes the first hit and alternates hits with the Queen, what is the probability that Alice Now what is the probability that Alice is the first player to hit the goal post with the ball?
  1 KB (185 words) - 03:32, 13 January 2019
• 2014 UNCO Math Contest II Problems/Problem 9
  In the Queen’s croquet, as described in Problem <math>8</math>, what is the probability that the ball hits the Zero probability for <math>n=1</math> and <math>\frac{F_{n-1}}{2^{2n}}</math> for <math>n\ge
  493 bytes (80 words) - 03:32, 13 January 2019
• 2014 UNCO Math Contest II Problems/Problem 10
  ...uests make their guesses at random, perhaps by tossing a coin. What is the probability (b) Tweedledum is the first guest to arrive. What is the probability that one or the other of Tweedledee
  2 KB (297 words) - 03:33, 13 January 2019
• 1988 AHSME Problems/Problem 28
  An unfair coin has probability <math>p</math> of coming up heads on a single toss. Let <math>w</math> be the probability that, in <math>5</math> independent toss of this coin,
  2 KB (240 words) - 14:50, 27 February 2018
• 1987 AHSME Problems/Problem 26
  <math>2</math> and <math>1</math> in the second. What is the probability that the two integers sum to <math>3</math>? [[Category: Intermediate Algebra Problems]]
  2 KB (235 words) - 13:01, 31 March 2018
• 1986 AHSME Problems/Problem 22
  ...rs are picked at random from <math>\{1,2,3,\ldots,10\}</math>. What is the probability that, among those selected, the second smallest is <math>3</math>? [[Category: Intermediate Combinatorics Problems]]
  1 KB (159 words) - 18:37, 12 May 2021
• 2015 UNCO Math Contest II Problems/Problem 8
  at a time, without any going back in. What is the probability that the sequence of numbers [[Category:Intermediate Probability Problems]]
  887 bytes (138 words) - 03:35, 13 January 2019
• 2015 AMC 10A Problems/Problem 25
  ...ts are chosen independently at random on the sides of <math>S</math>. The probability that the straight-line distance between the points is at least <math>\dfrac ...lity. (Alternatively, one can set up a coordinate system and use geometric probability.)
  8 KB (1,406 words) - 19:14, 9 October 2023
• 2018 UNCO Math Contest II Problems/Problem 7
  positive integers less than or equal to twelve. What is the probability that <math>x</math> is a multiple of By counting the number of solutions, the required probability <math>=\frac{1\times1 + 5\times11}{12\times12} = \frac{56}{144} = \frac{7}{
  2 KB (261 words) - 11:57, 26 September 2022
• Gmaas
  ...roblem. Therefore, I proved that you cannot use the Games theorem to solve problems. But using theorem 3.141592653589793238462643383 "2. Games can turn things ...oblems, which has around 73,000 bytes. EDIT: Gmaas has beaten 2008 most iT Problems! It is the longest AoPS Wiki article ever. Gmaas's article has 89,119 bytes
  69 KB (11,805 words) - 20:49, 18 December 2019

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