In a certain state's lottery, 40 balls numbered 1 through 40 are placed in a machine and seven of them are drawn at random. If the seven numbers drawn match the numbers that a player had chosen, the player wins $1,000,000. In this lottery, the order the numbers are drawn in does not matter. Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. Write your answer as a reduced fraction. P(win) =

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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In a certain state's lottery, 40 balls numbered 1 through 40 are placed in a machine and seven of them are
drawn at random. If the seven numbers drawn match the numbers that a player had chosen, the player
wins $1,000,000. In this lottery, the order the numbers are drawn in does not matter.
Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. Write
your answer as a reduced fraction.
P(win) =
Transcribed Image Text:In a certain state's lottery, 40 balls numbered 1 through 40 are placed in a machine and seven of them are drawn at random. If the seven numbers drawn match the numbers that a player had chosen, the player wins $1,000,000. In this lottery, the order the numbers are drawn in does not matter. Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. Write your answer as a reduced fraction. P(win) =
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