SOLUTION: This question involves Binomial Distribution..
An urn contains 10 red balls and 5 blue balls. Five balls are chosen at random with replacement from this urn.
(a) What is the pro
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Question 257524: This question involves Binomial Distribution..
An urn contains 10 red balls and 5 blue balls. Five balls are chosen at random with replacement from this urn.
(a) What is the probability that all five balls drawn are red?
(b) What is the probability that among those five there are at least one red ball and also at least one blue ball?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An urn contains 10 red balls and 5 blue balls. Five balls are chosen at random with replacement from this urn.
(a) What is the probability that all five balls drawn are red?
n = 5 ; p = 2/3 ; x = 5
P(5 red) = (2/3)^5 = 0.1317
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(b) What is the probability that among those five there are at least one red ball and also at least one blue ball?
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P(no red in 5) = (1/3)^5
P(no blue in 5) = (2/3)^5
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P(at least one red and one blue) = 1 - [(1/3)^5 + (2/3)^5]
= 0.86419..
Cheers,
Stan H.
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