In Lotto 4-39, the lottery picks 4 numbers (without replacement) from 1 to 39. Before this...
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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? |
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In Lotto 4-39, the lottery picks 4 numbers (without replacement)
from 1 to 39. Before this...
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...
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...
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...
A lottery is carried out by choosing five balls, without replacement, from a box of 35...
A lottery is carried out by choosing five balls, without replacement, from a box of 35 balls. The lottery ticket has five numbers on it. Find the probability that exactly four of the balls that come out of the box match the numbers on the lottery ticket.
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 the lottery game known as 6/50, a player picks six numbers from 1 to 50....
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In a lottery game, a player picks six numbers from 1 to 48. If 5 of...
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In a lottery game, a player picks 8 numbers from 1 to 45. If 7 of...
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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.
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...
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