In a certain state's lottery, 30 balls numbered 1 through 30 are placed in a machine and 5 of them are drawn at random. If the 5 numbers drawn match the numbers that a player had chosen, the player wins $30,000. In this lottery, the order the numbers are drawn in doesn't matter. Compute the probability that you win the prize if you purchase a single lottery ticket.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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In a certain state's lottery, 30 balls numbered 1 through 30 are placed in a machine and 5 of them are drawn at random. If the 5 numbers drawn match the numbers that a player had chosen, the player wins $30,000. In this lottery, the order the numbers are drawn in doesn't matter. Compute the probability that you win the prize if you purchase a single lottery ticket.
  
Make sure to enter at least three non-zero digits.
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