SOLUTION: A and B play a game in which B's probability of winning is 2/3 if they play five games what is probability A will win atleast one game

Question 858001: A and B play a game in which B's probability of winning is 2/3 if they play five games what is probability A will win atleast one game
Answer by ben720(159) (Show Source): You can put this solution on YOUR website!

An easier way to think about it is to look at the probability of
1-(B winning all the time)
Or in other words all the times except where B always wins.
The chance of B winning the first time is . The chance of him winning twice in a row is , because you need to multiply the 2/3's together to reflect them both happening. If they play 5 games, the probability of him winning all the time would be:

When you multiply all the numerators and denominators, you get

Calculate those numbers, and you get:

The answer, however is 1-, or

This is your final answer. If you want a percent, it's ≈86.83%

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