# Data Management, Math

10 of your friends (including you..so 10 altogether) are going to have a draw between all of you. Each person gives \$10 (for a total of \$100). There will be five, \$20 draws. One per week for 5 weeks.

For the first draw, every person gets a ticket. One ticket is picked from 10 tickets.

For the second draw, everyone gets a new ticket. Now, everyone (including the past winner) has two tickets. One ticket is picked from 20 tickets.

For the third draw, everyone gets a new ticket. Now, everyone (including the past winner) has three tickets. One ticket is picked from 30 tickets.

And so on until the draws are finished.

a) One of your friends says that you have a 1 in 10 chance each week to win. Since there are 5 draws, you have a 50% chance of winning at least once. Is your friend correct?

b) What is the expected size of the prize you would win?

c) Is this a fair game? Explain.

1. 👍 0
2. 👎 0
3. 👁 134
1. in week 1 you have a 1 in 10 chance to win, or 10%. In week 2 you have a 2 in 20 chance to win or 10% .... In week 5 you have a 5 in 50 chance to win, or 10%.

a) The probability that you always lose is .9^5 = .59049 -- so the probability that you win at least once is 1-.59049 = 40.941% -- your friend is incorrect.

b) the expected prize is 5 chances at .1*\$20 = 5*.1*\$20 = \$10.

c) its a fair game. take it from here.

1. 👍 0
2. 👎 0
2. Thank You Very Much!!! Very Much Appreciated!!!

1. 👍 0
2. 👎 0
posted by Jenna

## Similar Questions

1. ### math

BUY 6 APPLES AND GET 1 FREE APPLES COST \$4.00 EACH Sahida purchased \$120 worth of apples. a) How much free apples did she get? b) How many apples did she get altogether? c) Sahida's friends also bought the apples on sale. She

asked by indira on March 1, 2017
2. ### Math

Jonah and his friends go apple-picking Jonah fills 5 baskets each basket holds 15 apples if 4 of Jonah's friends same amount as Jonah how many apples did Jonah his friends pick in all draw a diagram to solve the problem

asked by Angelina on September 27, 2016
3. ### chemistry

I have my exam in a little over 7 hours...can anyone help explain how to draw atoms in the Bohr Rutherford and Lewis Dot methods, as well as how to draw them as compounds and ions? My friends are no help, nor is the internet.

asked by Sydney on June 21, 2012
4. ### English

I forgot to include the following questions for you to check. Thank you very much. 7) The interviewee got together with two friends of him and they dressed up like a seventies pop group in Afro wigs and dark glasses. 8) His

asked by Franco on March 8, 2010
5. ### Probability

placed marbles in a bag. 6 of the marbles are red and 4 of them are yellow. reach into the bag and remove two marbles. a.) i.) What is the probability that both of the marbes you draw out are red? ii.) What is the probability that

asked by Jason on December 8, 2014
6. ### math

FOUR QUESTION PROBLEM: Amy and three friends launch a new website. Each of the four friends e-mails the web address to three new friends. These new friends forward the web address to three more friends. If no one receives the

asked by kyle on February 11, 2015
7. ### math

FOUR STEPS: Amy and three friends launch a new website. Each of the four friends e-mails the web address to three new friends. These new friends forward the web address to three more friends. If no one receives the e-mails more

asked by kyle on February 10, 2015
8. ### English

I will distribute a sheet of paper to each of you. Then you should draw a big box on the back first. After that draw three vertical lines and five horizontal lines to make a table. Then you can have three columns and six rows in

asked by rfvv on May 30, 2014
9. ### Math

Jordan ordered 568783 mini toy cars. He divided an equal number to share to his friends. Including him. How many did each friend get? Tip: He has 4 friends. Plus him =? Please help, this question is really hard. All I know is that

asked by Lifa on October 2, 2018
10. ### Literature

'Design a set for a TV show based on "When I Lay My Burden Down" by Maya Angelou. Draw a few color sketches to show how you visualize the store, inside and outside, including the yard.' Need help with this..what should I draw?

asked by mysterychicken on December 15, 2009

More Similar Questions