SOLUTION: Suppose Dan wins 40% of all his chess games. If Dan is to play 4 games, what is the probability Dan wins at least one game?

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Question 1201361: Suppose Dan wins 40% of all his chess games.
If Dan is to play 4 games, what is the probability Dan wins at least one game?

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Suppose Dan wins 40% of all his chess games.
If Dan is to play 4 games, what is the probability Dan wins at least one game?
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The event that Dan wins at least one game is the COMPLEMENT to the event that Dan 
loses all 4 games.


For this complementary event, the probability is  P = %281-0.4%29%5E4 = 0.6%5E4 = 0.1296.


Therefore, the answer to the problem's question is  

    1 - %281-0.4%29%5E4 = 1 - 0.6%5E4 = 1 - 0.1296 = 0.8704.

Solved.