Asked by Christine
                you have 8 blue marbles, 7 red marbles, and 5 green marbles. What is the probability of obtaining at least 2 red marbles in three draws with replacements? 
I have the answer, just can't figure out how to get it.
Thanks!
            
        I have the answer, just can't figure out how to get it.
Thanks!
Answers
                    Answered by
            drwls
            
    Seven out of the twenty are red. The probability of NOT getting ANY red in three tries is (13/20)^3 = 0.2746
The probability of getting only one red is 3*(13/20)^2*(7/20) = 0.4436
The probability of getting two or more is 1 - 0.2736 - 0.4436 = 0.2828
    
The probability of getting only one red is 3*(13/20)^2*(7/20) = 0.4436
The probability of getting two or more is 1 - 0.2736 - 0.4436 = 0.2828
                    Answered by
            Christine
            
    I thought I was understanding this but I am really not sure about the symbols.
Does the 3*(13/20)^2*(7/20) translate to 3 times 13/20 times 2 times 7/20?
Sorry I am not up on the symbols...
I will keep trying.
    
Does the 3*(13/20)^2*(7/20) translate to 3 times 13/20 times 2 times 7/20?
Sorry I am not up on the symbols...
I will keep trying.
                    Answered by
            Damon
            
    3*(13/20)^2*(7/20)
means
three times (13/20) squared times (7/20)
in general the probability of getting r successes out of n tries in binomial distribution if probability of success is p is
P(r) = C(n,r) p(r)^r (1-p)^(n-r)
    
means
three times (13/20) squared times (7/20)
in general the probability of getting r successes out of n tries in binomial distribution if probability of success is p is
P(r) = C(n,r) p(r)^r (1-p)^(n-r)
                    Answered by
            Christine
            
    That is even more confusing. I am totally lost on this problem. 
I know that I have to multiply the three possibilities, so (7/20)(7/20)(13/20) three times (same numbers, different order) and I get 0.07963. I thought I would add those three numbers or essentially multiply that number by three, however, I did not get the right answer doing it that way.
Thanks for any help. I am totally confused.
    
I know that I have to multiply the three possibilities, so (7/20)(7/20)(13/20) three times (same numbers, different order) and I get 0.07963. I thought I would add those three numbers or essentially multiply that number by three, however, I did not get the right answer doing it that way.
Thanks for any help. I am totally confused.
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