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hw2 - (a What is the probability that the marble drawn from...

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Homework 2 due Friday, July 8 2011 1 [16pts] Flip a fair coin. If it lands on heads, roll 2 fair dice. If it lands on tails, roll 3 fair dice. Find the probability that the sum of the numbers you roll is 5. 2 [24pts] We have two urns full of marbles,. The first urn has 6 red marbles and 5 grey. The second urn has 2 red marbles and 7 grey. Draw a marble from the first urn. If it’s red, put it back into the first urn, and add two (new) red marbles to the second urn. If it’s grey, just put the marble you drew into the second urn. Repeat this process, then draw a marble from the second urn.
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Unformatted text preview: (a) What is the probability that the marble drawn from the second urn was red? (b) Given that the marble from the second urn is red, find the probability that the second marble drawn from the first urn was grey. 3 [22pts] Draw three cards from a standard deck, without replacement, and let X be the number of suits that appear in your sample of three cards. Find the probability generating function G X ( z ) for X (you should explain your calculation of the probabilities to get full credit). Last compiled at 5:14 P.M. on June 29, 2011 1...
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