In a certain lottery, players pick 5 numbers (without replace) from the numbers 1-50 and an...
In a certain lottery, players pick 5 numbers (without replace) from the numbers 1-50 and an additional number (possibly repeated from the first set) from the numbers 1-30. A set of 6 numbers with these restrictions is then chosen uniformly at random. The player wins based on how many of their numbers matched the randomly chosen number.
(a) What is the probability that the player chooses all 6 numbers correctly?
(b) What is the probability that the player chooses exactly 3 of the first set of 5 numbers correctly?
(c) What is the probability that the player chooses exactly 2 of the first set of 5 numbers correctly and the final number correctly?
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In a certain lottery, players pick 5 numbers (without replace)
from the numbers 1-50 and an...
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...
1. A state runs a lottery in which five numbers are randomly selected from 45 numbers...
1. A state runs a lottery in which five numbers are randomly selected from 45 numbers without replacement. A player chooses five numbers before the state's sample is selected. a. what is the probability that the five numbers chosen by a player match all five numbers in the state's sample? b. If a player enters one lottery each week, what is the expected number of weeks until a player matches all five numbers in the state's sample (caution: to get...
The state runs a lottery once every week in which six numbers are randomly selected from...
The state runs a lottery once every week in which six numbers are randomly selected from 15 without replacement. A player chooses six numbers before the state’s sample is selected. The player wins if all 6 numbers match. If a player enters one lottery each week, what is the probability that he will win at least once in the next 200 weeks?
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...
Exercise 1.15. Assume that the numbers 1,2, n are randomly given to players labeled 1,2,...,n. Initially,...
Exercise 1.15. Assume that the numbers 1,2, n are randomly given to players labeled 1,2,...,n. Initially, player 1 and player 2 compare their numbers. The one with the largest number wins and compares her number with player 3, and so on. Find the probability that player 1 wins m times. Hint: Use that, for every subset of numbers chosen uniformly at random, all the possible permutations of these numbers are equally likely. 1nl and define
to win a lottery you have to correctly pick the set of 6 numbers drawn from...
to win a lottery you have to correctly pick the set of 6 numbers drawn from numbers 1-52 what is the probability of winning if you buy one ticket
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...
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?
The number of ways to pick 6 different numbers from 1 to 46 in a state...
The number of ways to pick 6 different numbers from 1 to 46 in a state lottery is 9,366,819. Assuming order is unimportant, what is the probability of picking exactly 3 of the 6 numbers correctly? The probability of selecting exactly 3 of the 6 numbers drawn is . (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)
In Lotto 4-39, the lottery picks 4 numbers (without replacement) from 1 to 39. Before this...
In Lotto 4-39, the lottery picks 4 numbers (without replacement) from 1 to 39. Before this drawing is done, you pick 4 numbers (without replacement) from 1 to 39. Find the probability that: a) None of my numbers are chosen B)exactly 2 are chosen For a) I figured out total number of possibilities 39C4, then I did 1/39C4 for the probability because I figured no numbers was just one possible combination. Where did I go wrong?
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...
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...
Exercise 1.15. Assume that the numbers 1,2, n are randomly given to players labeled 1,2,...,n. Initially, player 1 and player 2 compare their numbers. The one with the largest number wins and compares her number with player 3, and so on. Find the probability that player 1 wins m times. Hint: Use that, for every subset of numbers chosen uniformly at random, all the possible permutations of these numbers are equally likely. 1nl and define
The number of ways to pick 6 different numbers from 1 to 46 in a state lottery is 9,366,819. Assuming order is unimportant, what is the probability of picking exactly 3 of the 6 numbers correctly? The probability of selecting exactly 3 of the 6 numbers drawn is . (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)
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