Posted by **Jenna** on Tuesday, May 13, 2008 at 7:33pm.

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.

- Data Management, Math -
**economyst**, Wednesday, May 14, 2008 at 9:15am
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.

- Data Management, Math -
**Jenna**, Wednesday, May 14, 2008 at 5:13pm
Thank You Very Much!!! Very Much Appreciated!!!

## Answer this Question

## Related Questions

- Math - Harold bought two loaves of raisin bread to share with his friends. If ...
- math - Sunae's group of close friends are going to fifth grade in September. All...
- math - Sunae's group of close friends are going to fifth grade in September. All...
- Math - Susan's group of close friends are going to fifth grade in September. All...
- math-data management - I have just started grade 12 U Data Management, and i do ...
- 4th grade math - Sunbeam's group of close friends are going to fifth grade in ...
- math - Mary's group of close friends are going to fifth grade in September. All ...
- english - I am trying to do a definition paragraph and was wondering if this ...
- Math - You have $9, one of your friends has $10, and two of your other friends ...
- law office management - when one person has the power and authority to make all ...