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Dan is planning to play the mega-thousands lottery. He gets to pick two digit-numbers (0-9), followed by an upper case letter from the English Alphabet (A-Z, i.e. 26 possible characters). The two numbers chosen do not have to be unique. Dan decides to pick 04C, and pays $5 to buy the ticket. Assume that the lottery has a single draw chosen at random from all possible combinations of letters and numbers. The winnings are as follows: • Full Match (Both Numbers and Letter in order): $10,000 • Number Match (Both Numbers in order): $500 Letter Match: $100 A winning ticket only earns the highest possible prize (i.e. a full match wins only $10,000) Compute the probabilities of winning for each of the prizes. Show your work. Q1 Answer here: Question 2. What is the probability that Dan will lose money on this lottery ticket? Show your work. Q2 Answer here: Question 3: The Virginia State Lottery runs a game called Powerball, which selects five numbers without replacement from a set of balls numbered 1 through 69, and separately selects a ball from a different container with numbers 1 through 26. How many different choices of the six numbers are valid powerball selections?

Dan is planning to play the mega-thousands lottery. He gets to pick two digit-numbers (0-9), followed by an upper case letter from the English Alphabet (A-Z, i.e. 26 possible characters). The two numbers chosen do not have to be unique. Dan decides to pick 04C, and pays $5 to buy the ticket. Assume that the lottery has a single draw chosen at random from all possible combinations of letters and numbers. The winnings are as follows: • Full Match (Both Numbers and Letter in order): $10,000 • Number Match (Both Numbers in order): $500 Letter Match: $100 A winning ticket only earns the highest possible prize (i.e. a full match wins only $10,000) Compute the probabilities of winning for each of the prizes. Show your work. Q1 Answer here: Question 2. What is the probability that Dan will lose money on this lottery ticket? Show your work. Q2 Answer here: Question 3: The Virginia State Lottery runs a game called Powerball, which selects five numbers without replacement from a set of balls numbered 1 through 69, and separately selects a ball from a different container with numbers 1 through 26. How many different choices of the six numbers are valid powerball selections?

A First Course in Probability (10th Edition)
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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Question 1. Dan is planning to play the mega-thousands lottery. He gets to pick two digit-numbers (0 - 9), followed by an upper case letter from the English Alphabet (A-Z, i.e. 26 possible characters). The two numbers chosen do not have to be unique. Dan decides to pick 04C, and pays $5 to buy the ticket. Assume that the lottery has a single draw chosen at random from all possible combinations of letters and numbers. The winnings are as follows: • Full Match (Both Numbers and Letter in order): $10,000 • Number Match (Both Numbers in order): $500 • Letter Match: $100 A winning ticket only earns the highest possible prize (i.e. a full match wins only $10,000) Compute the probabilities of winning for each of the prizes. Show your work. Q1 Answer here: Question 2. What is the probability that Dan will lose money on this lottery ticket? Show your work. Q2 Answer here: Question 3: The Virginia State Lottery runs a game called Powerball, which selects five numbers without replacement from a set of balls numbered 1 through 69, and separately selects a ball from a different container with numbers 1 through 26. How many different choices of the six numbers are valid powerball selections? Q3 Answer here:
Transcribed Image Text:Question 1. Dan is planning to play the mega-thousands lottery. He gets to pick two digit-numbers (0 - 9), followed by an upper case letter from the English Alphabet (A-Z, i.e. 26 possible characters). The two numbers chosen do not have to be unique. Dan decides to pick 04C, and pays $5 to buy the ticket. Assume that the lottery has a single draw chosen at random from all possible combinations of letters and numbers. The winnings are as follows: • Full Match (Both Numbers and Letter in order): $10,000 • Number Match (Both Numbers in order): $500 • Letter Match: $100 A winning ticket only earns the highest possible prize (i.e. a full match wins only $10,000) Compute the probabilities of winning for each of the prizes. Show your work. Q1 Answer here: Question 2. What is the probability that Dan will lose money on this lottery ticket? Show your work. Q2 Answer here: Question 3: The Virginia State Lottery runs a game called Powerball, which selects five numbers without replacement from a set of balls numbered 1 through 69, and separately selects a ball from a different container with numbers 1 through 26. How many different choices of the six numbers are valid powerball selections? Q3 Answer here:
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