A state lottery game requires that you pick 6 different numbers from 1 to 45. (a) Assuming that order is unimportant, what is the probability of picking all 6 numbers correctly to win the big prize? (b) What is the probability of picking exactly 3 of the 6 numbers correctly?

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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A state lottery game requires that you pick 6 different numbers from 1 to 45.
(a) Assuming that order is unimportant, what is the probability of picking all 6 numbers correctly to win the big prize?
(b) What is the probability of picking exactly 3 of the 6 numbers correctly?
Transcribed Image Text:A state lottery game requires that you pick 6 different numbers from 1 to 45. (a) Assuming that order is unimportant, what is the probability of picking all 6 numbers correctly to win the big prize? (b) What is the probability of picking exactly 3 of the 6 numbers correctly?
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