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1. I have a bag with 5 pennies and 6 nickels. I draw coins out one at a time at random. What is the probability that after 4 draws I have removed no more than 2 pennies from the bag?

 

2. 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.

 Nov 11, 2019
 #1
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1. Doing some casework, I get 37/44.

 

2. I'm getting is (2/3)^3 + 3*(2/3)^3/2 = 20/27.

 Nov 11, 2019
 #2
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1. The probability is 240/330 = 8/11.

 

2. The probability is (2/3)^3 + (2/3)^3*1/3 = 32/81.

 Nov 20, 2019

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