SOLUTION: If You play a game in which your chance of winning is 40 percent. You play a total of 13 games. a)Find the probability of losing all 13 games. b)Find the probability of winn

Algebra ->  Probability-and-statistics -> SOLUTION: If You play a game in which your chance of winning is 40 percent. You play a total of 13 games. a)Find the probability of losing all 13 games. b)Find the probability of winn      Log On


   

Question 1075567: If You play a game in which your chance of winning is 40 percent. You play a total of 13 games.
a)Find the probability of losing all 13 games.
b)Find the probability of winning exactly 5 games.
c)Find the probability of winning 5 or 6 games.
d)Find the probability of winning at least one game.
IS there a formula??????

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Yes,
P%28X%29=C%2813%2CX%29%2A%280.4%29%5EX%2A%281-0.4%29%5E%2813-X%29 where X is the number of wins.
Make up a chart using EXCEL or by hand.
.
.
.
.
.
.
.
Here's my chart from EXCEL.
As a check the sum of the probabilities should equal 1.
.
.
.
a)Losing 13 means winning 0.
P%280%29=0.0013
.
.
b)P%285%29=0.2214
.
.
c) P=P%285%29%2BP%286%29=0.4181
.
.
d) Winning 1 games means not losing all of them so use the complement of the answer to a).
P=1-0.0013
P=0.9987