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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Finite Mathematics
**Lottery Probability Exercise**

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 the second prize, which is not millions of dollars.

**Tasks:**

(a) Find the probability of winning the first prize. (Round your answer to ten decimal places.)

(b) Find the probability of winning the second prize. (Round your answer to seven decimal places.)

**Additional Materials:**

- eBook

**Submission:**

Submit your answer in the provided fields.
Transcribed Image Text:**Lottery Probability Exercise** 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 the second prize, which is not millions of dollars. **Tasks:** (a) Find the probability of winning the first prize. (Round your answer to ten decimal places.) (b) Find the probability of winning the second prize. (Round your answer to seven decimal places.) **Additional Materials:** - eBook **Submission:** Submit your answer in the provided fields.
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