SOLUTION: New York State's "Quick Draw" lottery moves right along. Players choose between one and 10 numbers from the range one to 80; 20 winning numbers are displayed on a screen every four

Algebra ->  Statistics  -> Normal-probability -> SOLUTION: New York State's "Quick Draw" lottery moves right along. Players choose between one and 10 numbers from the range one to 80; 20 winning numbers are displayed on a screen every four      Log On


   



Question 1047176: New York State's "Quick Draw" lottery moves right along. Players choose between one and 10 numbers from the range one to 80; 20 winning numbers are displayed on a screen every four minutes. If you choose just one number, your probability of winning is 20/80, or 0.25. Lester plays one number eight times as he sits in a bar. What is the probability that all eight bets lose? (Round your answer to four decimal places.)


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
New York State's "Quick Draw" lottery moves right along. Players choose between one and 10 numbers from the range one to 80; 20 winning numbers are displayed on a screen every four minutes. If you choose just one number, your probability of winning is 20/80, or 0.25. Lester plays one number eight times as he sits in a bar. What is the probability that all eight bets lose? (Round your answer to four decimal places.)
----
If P(win) = 0.25, P(lose) = 0.75
------
Since the game results are independent,
P(lose 8 games) = 0.75*8 = 0.1001
-----------
Cheers,
Stan H
------