Texas is starting a lottery game. Play- ers use a machine that randomly selects 7 distinct numbers from among the first 28 pos- itive integers and prints them on a ticket. The lottery randomly selects 7 distinct num- bers from the same 28 positive integers. A winning ticket exactly matches the same set

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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Texas is starting a lottery game. Play-
ers use a machine that randomly selects 7
distinct numbers from among the first 28 pos-
itive integers and prints them on a ticket.
The lottery randomly selects 7 distinct num-
bers from the same 28 positive integers. A
winning ticket exactly matches the same set
of 7 numbers that the lottery selected. Or-
der is not important. Tickets cost one dollar.
Each winning ticket receives a prize amount
of 350, 000. No other prizes are given by this
lottery. Calculate the probability that Texas
will lose money, given that 450, 000 tickets are
purchased.
Transcribed Image Text:Texas is starting a lottery game. Play- ers use a machine that randomly selects 7 distinct numbers from among the first 28 pos- itive integers and prints them on a ticket. The lottery randomly selects 7 distinct num- bers from the same 28 positive integers. A winning ticket exactly matches the same set of 7 numbers that the lottery selected. Or- der is not important. Tickets cost one dollar. Each winning ticket receives a prize amount of 350, 000. No other prizes are given by this lottery. Calculate the probability that Texas will lose money, given that 450, 000 tickets are purchased.
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