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There are two urns. The first urn has three red, one blue and four yellow marbles....

There are two urns. The first urn has three red, one blue and four yellow marbles. The second urn has two red, four blue and two yellow marbles. If you draw one marble from each urn, what are the probabilities of the following events?

What is the chance of getting two blue marbles?

What is the chance of getting no blue marbles?

What is the chance of getting at least one yellow marble?

What is the chance that the marbles will not be the same color?

What is the chance of getting one red marble and one yellow marble?

Suppose I draw two marbles from urn 1, ignoring urn 2. The draws are without replacement. What is the probability of getting two yellow marbles?

Now suppose only one marble is drawn, and you don't know which urn it was drawn from. The marble is blue. Use Bayes' theorem to determine the probability that it was drawn from urn 2.

Math   Statistics-And-Probability   
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