Probability: You have a bag that contains 20 red and 22 green balls...

Ghghgh

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Apr 30, 2017
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Hi
I have a homework question which is, "You have a bag that contains 20 red and 22 green balls, what are chances that you will draw at least 8 red balls in 12 attempts". I first worked out the question for if there was an even amount of balls and got the answer 794/4096. I then applied the ratio of the certain amount of balls 20/42 times 794/4096 and got the answer of 0.1762. I'm pretty sure it's correct but I have a nagging suspicion that it is not.
Any answers much appreciated
 
Work the related and easier question. See if it leads to the same answer.

What are the chances you will draw AT MOST 4 GREEN in 12 tries?
 
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