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A state runs a lottery in which six numbers are randomly
Chapter 3, Problem 148E(choose chapter or problem)
Problem 148E
A state runs a lottery in which six numbers are randomly selected from 40 without replacement. A player chooses six numbers before the state’s sample is selected.
(a) What is the probability that the six numbers chosen by a player match all six numbers in the state’s sample?
(b) What is the probability that five of the six numbers chosen by a player appear in the state’s sample?
(c) What is the probability that four of the six numbers chosen by a player appear in the state’s sample?
(d) If a player enters one lottery each week, what is the expected number of weeks until a player matches all six numbers in the state’s sample?
Questions & Answers
QUESTION:
Problem 148E
A state runs a lottery in which six numbers are randomly selected from 40 without replacement. A player chooses six numbers before the state’s sample is selected.
(a) What is the probability that the six numbers chosen by a player match all six numbers in the state’s sample?
(b) What is the probability that five of the six numbers chosen by a player appear in the state’s sample?
(c) What is the probability that four of the six numbers chosen by a player appear in the state’s sample?
(d) If a player enters one lottery each week, what is the expected number of weeks until a player matches all six numbers in the state’s sample?
ANSWER:
Solution:
Step 1 of 5:
It is given that a state runs a lottery and 6 numbers are randomly selected from 40 numbers without replacement.
Also,it is given that a player chooses 6 numbers before the state selects the sample.
Using this we need to find the required values.