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In the lottery game known as 6/36, a player picks six numbers from 1 to 36. (a) How many different ways are there for the

In the lottery game known as 6/36, a player picks six numbers from 1 to 36.

(a) How many different ways are there for the player to pick 6 numbers, if order doesn't matter?

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(b) If all six of the numbers match the ones that are drawn, the player wins first prize. What is the probability of winning 1st prize? Enter your answer as a decimal (not a percent), rounded toSEVENdecimal places.

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(c) If five of the six numbers match the ones that are drawn, but the other number doesn't match, the player wins second prize. What is the probability of winning 2nd prize? Enter your answer as a decimal (not a percent), rounded toSIXdecimal places.

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