2. (15 pt., 5 pt. each) A player in the Mega Millions lottery picks five different...
2. (15 pt., 5 pt. each) A player in the Mega Millions lottery picks five different integers between 1 and 70, inclusive, and a sixth integer between 1 and 25, inclusive, which may duplicate one of the earlier five integers. The player wins the jackpot (currently $229 million) if the first five numbers picked match the first five numbers drawn (in any order) and the sixth number picked matches the sixth number drawn.
a. What is the probability that a player wins the jackpot?
b. What is the probability that a player wins the second prize ($1,000,000) by matching the first five numbers drawn (in any order) but not the sixth number?
c. What is the probability that a player wins $10 by matching exactly three of the first five numbers drawn (in any order) but not the sixth number or two of the first five numbers drawn (in any order) and the sixth number?
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2. (15 pt., 5 pt. each) A player in the Mega Millions lottery
picks five different...
In a lottery game, a player picks six numbers from 1 to 48. If 5 of...
In a lottery game, a player picks six numbers from 1 to 48. If 5 of the 6 numbers match those drawn, they player wins second prize. What is the probability of winning this prize?
In a lottery game, a player picks 8 numbers from 1 to 45. If 7 of...
In a lottery game, a player picks 8 numbers from 1 to 45. If 7 of the 8 numbers match those drawn, the player wins second prize. What is the probability of winning this prize? Be sure to leave your answer as a fraction in order to earn credit. There is a probability of how many in winning second prize.
In a lottery game, a player picks 8 numbers from 1 to 52. If 7 of...
In a lottery game, a player picks 8 numbers from 1 to 52. If 7 of the 8 numbers match those drawn, the player wins second prize. What is the probability of winning this prize? Be sure to leave your answer as a fraction in order to earn credit.
In one lottery, a player wins the jackpot by matching all five numbers drawn from white...
In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 45) and matching the number on the gold ball (1 through 32). If one ticket is purchased, what is the probability of winning the jackpot? The probability of winning the jackpot with one ticket is (Type an integer or a simplified fraction)
Problem #4: (10 points) In a state lottery, the player picks 6 numbers from a sequence of 1 through 51. At a lottery drawing, 6 balls are drawn at random from a box containing 51 balls, numbered...
Problem #4: (10 points) In a state lottery, the player picks 6 numbers from a sequence of 1 through 51. At a lottery drawing, 6 balls are drawn at random from a box containing 51 balls, numbered 1 through 51. Find the following. (a) Probability the player matches exactly 5 numbers (b) Probability the player matches all 6 numbers (i.e. wins the lottery!)
Problem #4: (10 points) In a state lottery, the player picks 6 numbers from a sequence of...
In a lottery game, a player picks 4 numbers from 1 to 46. If 2 of...
In a lottery game, a player picks 4 numbers from 1 to 46. If 2 of those 4 numbers match those drawn, the player wins third prize. Let's walk through the steps to determine the probability of winning third prize. In how many ways can 2 winning numbers be chosen from the possible 4 numbers? In how many ways can 2 non-winning numbers be chosen from the pool of all non-winning numbers? The number of favorable outcomes would be to...
4.26 In a lottery game, three winning numbers are chosen uniformly at random from (1, ,100), samp...
4.26 In a lottery game, three winning numbers are chosen uniformly at random from (1, ,100), sampling without replacement. Lottery tickets cost $1 and allow a player to pick three numbers. If a player matches the three winning numbers they win the jackpot prize of $1,000. For matching exactly two numbers, they win $15. For matching exactly one number they win $3 d) Hoppe shows that the probability that a single parlayed ticket will ulti- mately win the jackpot is...
This Question: 1 pt 19 of 29 (8 complete) Inis Guz. T pis po In one...
This Question: 1 pt 19 of 29 (8 complete) Inis Guz. T pis po In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 42) and matching the number on the gold ball (1 through 35). If one ticket is purchased, what is the probability of winning the jackpot? The probability of winning the jackpot with one ticket is (Type an integer or a simplified fraction)
Need help with assignment This assignment involves simulating a lottery drawing. In this type of lottery...
Need help with assignment This assignment involves simulating a lottery drawing. In this type of lottery game, the player picks a set of numbers. A random drawing of numbers is then made, and the player wins if his/her chosen numbers match the drawn numbers (disregarding the order of the numbers). More specifically, a player picks k distinct numbers between 1 and n (inclusive), as well as one bonus number between 1 and m (inclusive). "Distinct" means that none of the...
In a lottery game, a player picks six numbers from 1 to 48. If 4 of...
In a lottery game, a player picks six numbers from 1 to 48. If 4 of those 6 numbers match those drawn, the player wins third prize. What is the probability of winning this prize? hints; The "favorable outcome" is to get 4 winning numbers and 2 non-winning numbers. How many ways can we get 4 winning numbers out of the 6 possible numbers? How many ways can we get 2 non-winning numbers out of all of the non-winning numbers?...
In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 45) and matching the number on the gold ball (1 through 32). If one ticket is purchased, what is the probability of winning the jackpot? The probability of winning the jackpot with one ticket is (Type an integer or a simplified fraction)
Problem #4: (10 points) In a state lottery, the player picks 6 numbers from a sequence of 1 through 51. At a lottery drawing, 6 balls are drawn at random from a box containing 51 balls, numbered 1 through 51. Find the following. (a) Probability the player matches exactly 5 numbers (b) Probability the player matches all 6 numbers (i.e. wins the lottery!)
Problem #4: (10 points) In a state lottery, the player picks 6 numbers from a sequence of...
4.26 In a lottery game, three winning numbers are chosen uniformly at random from (1, ,100), sampling without replacement. Lottery tickets cost $1 and allow a player to pick three numbers. If a player matches the three winning numbers they win the jackpot prize of $1,000. For matching exactly two numbers, they win $15. For matching exactly one number they win $3 d) Hoppe shows that the probability that a single parlayed ticket will ulti- mately win the jackpot is...
This Question: 1 pt 19 of 29 (8 complete) Inis Guz. T pis po In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 42) and matching the number on the gold ball (1 through 35). If one ticket is purchased, what is the probability of winning the jackpot? The probability of winning the jackpot with one ticket is (Type an integer or a simplified fraction)
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