A person participates in a state lottery by selecting six numbers from 1 through 51. If the six numbers match the six drawn by the lottery, regardless of order, then the participant wins the first prize of millions of dollars. If a participant's numbers match five of the six drawn, the participant wins second prize, which is not millions of dollars. (a) Find the probability of winning first prize. (Round your answer to ten decimal places.) (b) Find the probability of winning second prize. (Round your answer to seven decimal places.) Additional Materials

Question
Finite Mathematics
A person participates in a state lottery by selecting six numbers from 1 through 51. If the six numbers match the six drawn by the lottery, regardless of order, then the participant
wins the first prize of millions of dollars. If a participant's numbers match five of the six drawn, the participant wins second prize, which is not millions of dollars.
(a) Find the probability of winning first prize. (Round your answer to ten decimal places.)
(b) Find the probability of winning second prize. (Round your answer to seven decimal places.)
Additional Materials
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A person participates in a state lottery by selecting six numbers from 1 through 51. If the six numbers match the six drawn by the lottery, regardless of order, then the participant wins the first prize of millions of dollars. If a participant's numbers match five of the six drawn, the participant wins second prize, which is not millions of dollars. (a) Find the probability of winning first prize. (Round your answer to ten decimal places.) (b) Find the probability of winning second prize. (Round your answer to seven decimal places.) Additional Materials

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