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The probability that player a will win any game is 25%, the probability that player b will win is 25% and the probability that player c will win is 50%. if they play 10 games, what is the probability that player a will win 2

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Nadeem Uddin
Nadeem Uddin

The probability that player A will win any game is 25%, the probability that player B will win is 25% and the probability that player C will win is 50%. If they play 10 games, what is the probability that player A will win 2 games, player B will win 3 games and player C will win 5 games?

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The probability that player A will win any game is 25%, the probability that player B will win is 25% and the probability that player C will win is 50%. If they play 10 games, what is the probability that player A will win 2 games, player B will win 3 games and player C will win 5 games? NADEEM UDDIN ASSOCIATE PROFESSOR OF STATISTICS /NadeemUddin17 https://nadeemstats.wordpress.com/listofbooks/
Multinomial experiment If each trial have more than two outcomes than the binomial experiment becomes a multinomial experiment. Multinomial distribution If a given trial can result in the k outcomes 1, 2, 3, , 乞, with probability 1, 2, 3, , , then the probability distribution of the random variables 1, 2, 3, , , representing the number of occurrences for 1, 2, 3, , 乞 in n independent trials, is 1, 2, 3, , ヰ; 1, 2, 3, , , = ! 1! 2! 3! ヰ! 1 1 2 2 3 3 ヰ Where =1 ヰ =
Example-4 The probability that player A will win any game is 25%, the probability that player B will win is 25% and the probability that player C will win is 50%. If they play 10 games, what is the probability that player A will win 2 games, player B will win 3 games and player C will win 5 games? Solution = 10 ＄ 1 = 2 2 = 3 3 = 5
1 = ゐ = 0.25 2 = ゐ = 0.25 3 = ゐ = 0.50 2,3,5,0.25,0.25,0.50,10 = 10! 2! 3! 5! 0.25 2 0.25 3 0.50 5 2,3,5,0.25,0.25,0.50,10 = 0.0769

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The probability that player a will win any game is 25%, the probability that player b will win is 25% and the probability that player c will win is 50%. if they play 10 games, what is the probability that player a will win 2

  • 1. The probability that player A will win any game is 25%, the probability that player B will win is 25% and the probability that player C will win is 50%. If they play 10 games, what is the probability that player A will win 2 games, player B will win 3 games and player C will win 5 games? NADEEM UDDIN ASSOCIATE PROFESSOR OF STATISTICS /NadeemUddin17 https://nadeemstats.wordpress.com/listofbooks/
  • 2. Multinomial experiment If each trial have more than two outcomes than the binomial experiment becomes a multinomial experiment. Multinomial distribution If a given trial can result in the k outcomes 1, 2, 3, , 乞, with probability 1, 2, 3, , , then the probability distribution of the random variables 1, 2, 3, , , representing the number of occurrences for 1, 2, 3, , 乞 in n independent trials, is 1, 2, 3, , ヰ; 1, 2, 3, , , = ! 1! 2! 3! ヰ! 1 1 2 2 3 3 ヰ Where =1 ヰ =
  • 3. Example-4 The probability that player A will win any game is 25%, the probability that player B will win is 25% and the probability that player C will win is 50%. If they play 10 games, what is the probability that player A will win 2 games, player B will win 3 games and player C will win 5 games? Solution = 10 ＄ 1 = 2 2 = 3 3 = 5
  • 4. 1 = ゐ = 0.25 2 = ゐ = 0.25 3 = ゐ = 0.50 2,3,5,0.25,0.25,0.50,10 = 10! 2! 3! 5! 0.25 2 0.25 3 0.50 5 2,3,5,0.25,0.25,0.50,10 = 0.0769