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?

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) (Show Source): You can put this solution on YOUR website!
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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?
~~~~~~~~~~~~~~~~~~~

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 =  =  = 0.1296.


Therefore, the answer to the problem's question is  

    1 -  = 1 -  = 1 - 0.1296 = 0.8704.

Solved.

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