A lottery game has players selecting 3 numbers at random from the numbers 1-60. The state picks 20 winning numbers. If the player's 3 numbers are selected by the state, the player wins. What is the probability that the state picks none of the player's 3 numbers? How many ways can the 3 numbers be chosen from the original 60 numbers, regardless of whether they are in the winning group or the losing group? ways (Type a whole number.)

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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A lottery game has players selecting 3 numbers at random from the numbers 1-60. The state picks 20 winning numbers. If the player's 3
numbers are selected by the state, the player wins. What is the probability that the state picks none of the player's 3 numbers?
How many ways can the 3 numbers be chosen from the original 60 numbers, regardless of whether they are in the winning group or the losing
group?
ways
(Type a whole number.)
Transcribed Image Text:A lottery game has players selecting 3 numbers at random from the numbers 1-60. The state picks 20 winning numbers. If the player's 3 numbers are selected by the state, the player wins. What is the probability that the state picks none of the player's 3 numbers? How many ways can the 3 numbers be chosen from the original 60 numbers, regardless of whether they are in the winning group or the losing group? ways (Type a whole number.)
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