Question

In: Statistics and Probability

State runs a lottery once every week in which six numbers are randomly selected from 40...

State runs a lottery once every week in which six numbers are randomly selected from 40 without replacement. A player chooses six numbers before the state’s sample is selected.

(a) What is the probability that five of the six numbers chosen by a player appear in the state’s sample?

(b) If a player enters one lottery each week, what is the probability that he will win at least once in the next 48 weeks?

Solutions

Expert Solution

Using binomial distribution formula, we calculate winning probability by using not winning probability

orchestra answered 2 years ago
Next > < Previous

Related Solutions

A lottery is conducted in which 7 winning numbers are randomly selected from a total of...
A lottery is conducted in which 7 winning numbers are randomly selected from a total of 62 numbers (1-62). In addition, the Powerball, a single winning number, is selected from an independent pool of 26 numbers (1-26). You select 7 numbers from the pool of 62 numbers. What is the probability that you will select at least one of the winning numbers?
A lottery is conducted in which 7 winning numbers are randomly selected from a total of...
A lottery is conducted in which 7 winning numbers are randomly selected from a total of 62 numbers (1-62). In addition, the Powerball, a single winning number, is selected from an independent pool of 26 numbers (1-26). You select 7 numbers from the pool of 62 numbers. If the probability of choosing 2 of the 7 winning numbers from the pool of 62 numbers is .08862, what is the probability will choose the Powerball from the pool of 26 numbers?
In one type of lottery 5 distinct numbers are picked at once from 1, ..., 40...
In one type of lottery 5 distinct numbers are picked at once from 1, ..., 40 uniformly at random. a. Describe the sample space and P to model this experiment. b. What is the probability that out of the 5 picked numbers exactly 3 will be even?
In a certain lottery, six numbers are randomly chosen form the set {0, 1, 2, ...,...
In a certain lottery, six numbers are randomly chosen form the set {0, 1, 2, ..., 49} (without replacement). To win the lottery, a player must guess correctly all six numbers but it is not necessary to specify in which order the numbers are selected. (a) What is the probability of winning the lottery with only one ticket? (b) Suppose in a given week, 6 million lottery tickets are sold. Suppose further that each player is equally likely to choose...
Lottery One state lottery game has contestants select 5 different numbers from 1 to 45. The...
Lottery One state lottery game has contestants select 5 different numbers from 1 to 45. The prize if all numbers are matched is 2 million dollars.   The tickets are $2 each. 1)    How many different ticket possibilities are there? 2)    If a person purchases one ticket, what is the probability of winning? What is the probability of losing? 3)    Occasionally, you will hear of a group of people going in together to purchase a large amount of tickets. Suppose a...
A certain lottery works this way: The player selects 5 different numbers from 1 to 40....
A certain lottery works this way: The player selects 5 different numbers from 1 to 40. To win, the player must correctly match all five numbers. The winning numbers are drawn one at a time, and cannot be reused. If you could list all possible outcomes in the sample space, how many outcomes would you have?
An ordinary six-sided die is tossed once and one slip of paper is randomly drawn from...
An ordinary six-sided die is tossed once and one slip of paper is randomly drawn from a jar containing 5 slips, each of which is lettered U, W, X, Y, or Z. (a) Write the complete sample space that describes all possible outcomes. (b) Determine the probability that the die will show a 6 and that the drawn slip of paper is a U or W. (c) Let A represent the event that the die shows a number greater than...
Two numbers are randomly selected without replacement from the set{1,2,3,4,5}.Find the probability that: a)both numbers are...
Two numbers are randomly selected without replacement from the set{1,2,3,4,5}.Find the probability that: a)both numbers are odd b)both numbers are prime
Below are the jersey numbers of 11 players randomly selected from a football team.
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us? 93 60 33 72 9 5 75 56 37 20 95 Range = (Round to one decimal place as needed.) Sample standard deviation - (Round to one decimal place as needed.) Sample variance = (Round to one decimal place as needed.) What do the results tell us?  A. The sample standard deviation is too...
Below are the jersey numbers of 11 players randomly selected from a football team
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us? 14 65 76 16 7 35 92 48 22 83 98 Range = (Round to one decimal place as needed.) Sample standard deviation = (Round to one decimal place as needed.) Sample variance (Round to one decimal place as needed.) What do the results tell us? A. Jersey numbers on a football team vary...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT