Thursday

August 21, 2014

August 21, 2014

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

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 9:15amin 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 5:13pmThank You Very Much!!! Very Much Appreciated!!!

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