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The Bad News Bears are playing against the Houston Toros in a baseball tournament. The first team to win three games wins the tournament. The Bears have a probability of 2/3 of winning each game. Find the probability that the Bears win the tournament.

 Mar 13, 2020
 #1
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The can win in these various ways:

 WWW =

 

WWLW =

WLWW =

LWWW =

 

WWLLW =

WLWLW =

WLLWW =

LWWLW =

LWLWW =

LLWWW =

 

In each of the above replace each "W" with 2/3 and each "L" with 1/3, and multiply the numbers together.

Then add these 9 values together to get the final answer.

 Mar 13, 2020
 #2
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So, for example, WWLW, I do 2/3*2/3*1/3*2/3?


And then I do the same with everything else... then add them...?

Guest Mar 13, 2020
 #3
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Thank you! It's correct!

Guest Mar 13, 2020
 #4
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Yes.

 Mar 13, 2020

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