When Stephen plays chess against his favorite computer program, he wins with probability 0.60, loses with probability 0.10, and 30% of the games result is a draw.   Stephen plays 12 games. Assume independence.   a. Find the probability that he wins 5 games, loses 3 games, and draws 4 games. b. Find the probability that he wins 7 games and draws 5 games. c. Find the probability that Stéphane wins at least 8 games.

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Chapter1: Combinatorial Analysis
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Answer the following questions using binomial probability formula and INTERPRET (please) your
answers.

 

When Stephen plays chess against his favorite computer program, he wins with
probability 0.60, loses with probability 0.10, and 30% of the games result is a draw.
 

Stephen plays 12 games. Assume independence.
 

a. Find the probability that he wins 5 games, loses 3 games, and draws 4 games.
b. Find the probability that he wins 7 games and draws 5 games.
c. Find the probability that Stéphane wins at least 8 games.



Binomial formula
Notation
Formula
n = number of trials
*x= number of successes
* P = probability of success
P(X = x) =
n!
x!(n-x)!
·* p** (1-P)n-x
Transcribed Image Text:Binomial formula Notation Formula n = number of trials *x= number of successes * P = probability of success P(X = x) = n! x!(n-x)! ·* p** (1-P)n-x
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