SOLUTION: The probability that you will win a certain game is 0.4. If you play the game 8 times, what is the probability that you will win at least 6 times?
Algebra ->
Probability-and-statistics
-> SOLUTION: The probability that you will win a certain game is 0.4. If you play the game 8 times, what is the probability that you will win at least 6 times?
Log On
Question 1087163: The probability that you will win a certain game is 0.4. If you play the game 8 times, what is the probability that you will win at least 6 times? Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! We use the binomial probability formula to solve this problem
:
Probability(P) ( k successes in n trials) = nCk * p^k * (1-p)^(n-k) where nCk = n! / (k! * (n-k)!)
:
P ( at least 6 wins out of 8) = P ( 6 wins out of 8) + P ( 7 wins out of 8 ) + P ( 8 wins out of 8 ) where p = 0.4
:
P ( at least 6 wins out of 8) = 0.04 + 0.01 + 0.00 = 0.05
:
