SOLUTION: chance of winning is .4 percent. You play a total of 11 games. a)Find the probability of losing all 11 games. b)Find the probability of winning exactly 6 games. c)Find

Algebra ->  Probability-and-statistics -> SOLUTION: chance of winning is .4 percent. You play a total of 11 games. a)Find the probability of losing all 11 games. b)Find the probability of winning exactly 6 games. c)Find      Log On


   



Question 1075626: chance of winning is .4 percent. You play a total of 11 games.
a)Find the probability of losing all 11 games.
b)Find the probability of winning exactly 6 games.

c)Find the probability of winning 6 or 7 games.

d)Find the probability of winning at least one game

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming the chance of winning is 0.4 and not 0.4%.
lose all 11 is 0.6^11=0.0036
winning exactly 6 is 11C6(0.4^6)(0.6^5)=0.1471
winning six or 7, find 7, which is 11C7(0.4^7)(0.6^4)=0.0701. Sum is 0.2172.
winning at least 1 is 1- losing all
That is 1-0.0036=0.9964.