10. (10 pts) a) In a certain lottery game you choose a set of six numbers out of 45 numbers. Find the probability that n
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10. (10 pts) a) In a certain lottery game you choose a set of six numbers out of 45 numbers. Find the probability that n
10. (10 pts) a) In a certain lottery game you choose a set of six numbers out of 45 numbers. Find the probability that none of your numbers match the six winning numbers. (4 pts) b) An experiment consists of picking at random a bit string of length four. Consider the following events: E: the bit string chosen begins with 00; Ez: the bit string chosen ends with 11. Determine whether E, and Ey are independent. Show your work. (6 pts)
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