Question

In: Math

One state lottery game has contestants select 5 different numbers from 1 to 45. The prize...

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)

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 group of 30 purchases 6,000 tickets.

a)    How much would each person have to contribute?

b)    What is the probability of the group winning? Losing?

   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 group of 30 purchases 6,000 tickets.

a)    How much would each person have to contribute?

b)    What is the probability of the group winning? Losing?

Solutions

Expert Solution


Related Solutions

One state lottery game has contestants select 5 different numbers from 1 to 45. The prize...
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 group...
One state lottery game has contestants select 5 different numbers from 1 to 45. The prize...
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. Please show work. 1)    How many different ticket possibilities are there? Hint: use combinations here 45 C 5.  Order of the numbers doesn't matter, just matching them, so we don't need permutations.   2)    If a person purchases one ticket, what is the probability of winning? What is the probability of losing? 3)   ...
One state lottery game has contestants select 5 different numbers from 1 to 45. The prize,...
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 group...
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...
7. The Sorry State Lottery requires you to select five different numbers from 0 through 69....
7. The Sorry State Lottery requires you to select five different numbers from 0 through 69. (Order is not important.) You are a Big Winner if the five numbers you select agree with those in the drawing, and you are a Small-Fry Winner if four of your five numbers agree with those in the drawing. (Enter your answers as exact answers.) What is the probability of being a Big Winner? What is the probability of being a Small-Fry Winner? What...
The Sorry State Lottery requires you to select five different numbers from 0 through 63. (Order...
The Sorry State Lottery requires you to select five different numbers from 0 through 63. (Order is not important.) You are a Big Winner if the five numbers you select agree with those in the drawing, and you are a Small-Fry Winner if four of your five numbers agree with those in the drawing. (Enter your answers as exact answers.) What is the probability of being a Big Winner? What is the probability of being a Small-Fry Winner? What is...
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?
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?
In a lottery 5 different numbers are chosen from the first 90 positive integers. (a) How...
In a lottery 5 different numbers are chosen from the first 90 positive integers. (a) How many possible outcomes are there? (An outcome is an unordered sample of five numbers.) (b) How many outcomes are there with the number 1 appearing among the five chosen numbers? (c) How many outcomes are there with two numbers below 50 and three numbers above 60? (d) How many outcomes are there with the property that the last digits of all five numbers are...
(1a) In a new lottery game called "Minibucks version 2", you select four numbers between 1...
(1a) In a new lottery game called "Minibucks version 2", you select four numbers between 1 and 25. If you match exactly three of your numbers with the four numbers chosen by the lottery that day, you win $5. What is the probability that you win this prize? Write your answer as a decimal accurate to four decimal places. (1b) A drawer contains 19 white socks and 5 black socks. Two different socks are selected from the drawer at random....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT