3 The letters of the word "PROBABILITY" are placed in a bag and one letter is taken out. 
i There are 
outcomes. 
ii What is the probability of the following being the one taken out? 
  • P(vowels) = 
  • P(consonants) =
  • P(P) = 
  • P(R) =
  • P(B) = 
  • P(I) =
  • P(X) =
  • P(any letters) = 

The given word is PROBABILITY.Total number of letters = 11Total number of possible outcomes = 111.The vowels are : O, A and 2 I's.Number of vowels = 4Number of favourable outcomes = 4Required probability = Number of favourable outcomesTotal number of possible outcomes = 4112.The consonants are 7 in number.Number of favourable outcomes = 7Required probability = Number of favourable outcomesTotal number of possible outcomes = 7113.Number of P is 1.Number of favourable outcomes = 1Required probability = Number of favourable outcomesTotal number of possible outcomes = 1114.Number of R is 1.Number of favourable outcomes = 1Required probability = Number of favourable outcomesTotal number of possible outcomes = 1115.Number of B is 2.Number of favourable outcomes = 2Required probability = Number of favourable outcomesTotal number of possible outcomes = 2116.Number of I is 2.Number of favourable outcomes = 2Required probability = Number of favourable outcomesTotal number of possible outcomes = 2117.Number of X is 0.Number of favourable outcomes = 0Required probability = Number of favourable outcomesTotal number of possible outcomes = 011 = 0

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