Each week, Bob and three friends from work pool their money together and buy 12 lottery tickets that are randomly and equally divided up among the group. a) How many ways can the tickets be divided up among Bob and his friends? b) By an incredible stroke of luck, this week there are two winning tickets among the 12 tickets purchased by Bob and his friends. What is the probability that different people end up with these winning tickets? c) In Lotto Mania, the game played by Bob and his friends, six winning

MATLAB: An Introduction with Applications
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Each week, Bob and three friends from work pool their money together and buy 12 lottery tickets that are randomly and equally divided up among the group. a) How many ways can the tickets be divided up among Bob and his friends? b) By an incredible stroke of luck, this week there are two winning tickets among the 12 tickets purchased by Bob and his friends. What is the probability that different people end up with these winning tickets? c) In Lotto Mania, the game played by Bob and his friends, six winning numbers are selected by random sampling without replacement from a bin of balls numbered 1 through 30. A player wins if the six numbers on his/her ticket match at least five numbers from the six winning numbers (order is irrelevant). If you buy a single ticket, what is the probability that you will win something? Answers: A)36900 B)0.8182 c) 0.0002442
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