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.
Homework Answers
8 numbers from 45 can be selected in 45C8 ways
In order to match 7 numbers from the 8 of the winning lottery, the match can be done in 8C7 ways
Probability = 8C7/45C8
= 8 / 215553195
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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 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 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 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 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 machine has 48 balls marked with numbers from 1-48 and six...
In a lottery game, a machine has 48 balls marked with numbers from 1-48 and six of them are taken out at random. A player picks six of these numbers, trying to match the six balls that come out of the machine in any order. If exactly 4 of those 6 numbers match those drawn, the player wins third prize. What is the probability of winning this prize? Round answer to 4 significant digits in either standard or scientific notation.
In a lottery game, a player picks 7 numbers from 1 to 43. How many different...
In a lottery game, a player picks 7 numbers from 1 to 43. How many different choices does the player have if order doesn't matter? There are how many choices to pick for the lottery.
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...
In the lottery game known as 6/50, a player picks six numbers from 1 to 50....
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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 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)
In a lottery game, a machine has 48 balls marked with numbers from 1-48 and six of them are taken out at random. A player picks six of these numbers, trying to match the six balls that come out of the machine in any order. If exactly 4 of those 6 numbers match those drawn, the player wins third prize. What is the probability of winning this prize? Round answer to 4 significant digits in either standard or scientific notation.
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 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)
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