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Megabucks is a lottery game played in Massachusetts . A random drawing of 6 numbers out...

Megabucks is a lottery game played in Massachusetts . A random drawing of 6 numbers out of all 36 numbers from 1 to 36 is made. In problems below you can give answers in terms of combinatorial symbols (combinations, permutations, etc.)

a. To win the jackpot (which is usually worth several million dollars) a ticket should have correct all the 6 numbers drawn regardless of their order. (A filled ticket contains 6 numbers.) What is the probability that a randomly filled ticket wins the jackpot?

b. A player who correctly chooses (exactly) five out of the six winning numbers gets $500. What is the probability of winning $500?

Math   Statistics-And-Probability   
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