Mathematics, 26.02.2020 04:53 FailingstudentXD
Susie has a bag of marbles containing 3 Red, 7 Green, and 10 Blue marbles.
For sub-problems 1 to 3, compute the probability in two ways:
(a) With Replacement: The marbles are drawn one at a time. After each draw it is replaced back into the bag before picking the next marble.
(b) Without replacement: Each drawn marble is held onto until all marbles are drawn.
1. What is the probability of picking 5 marbles and getting at least one red marble?
2. What is the probability of picking 6 marbles having 2 of each color?
3. Pick 8 marbles: 4 green and 4 blue.
4. Susie sells the marbles for 5 cents each. For 5 cents, she'll let you pick out a random marble out of the bag. (There are no taksie-backsies - i. e., no replacements!) How much would you have to pay Susie to be sure of getting at least 6 marbles of the same color?
5. Unfortunately you are a nickel shy of what you need to guarantee six marbles. If you buy as many marbles as you can afford, what are your chances of getting six or more marbles of the same color for at least one of the colors? Hint: Break it down into cases for how you might count the ways of getting at least six marbles of one color. Watch out for double counting!
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Susie has a bag of marbles containing 3 Red, 7 Green, and 10 Blue marbles.
For sub-prob...
For sub-prob...
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