Question

As a prize a contest winner get to draw out one bill at a time from a box containing 10 five dollar bills 10 ten dollar bills and 10 twenty dollar bill the drawing end when 3 bill of the same denomination are drawn and of course the contest winner keeps whatever he was drawn. What is the largest sum of money that can be won under these condition?

Answer 1

$80

Explanation:

10 - $5

10 - $10

10 - $20

The drawing will stop when 3 of the same bills are withdrawn. i.e. if any of the bills have been withdrawn for 3 times, the withdrawal will stop.

To maximize the warning, 3 largest bills should be prioritize. In this case $20 bills.

In between the $20 bills, 2 of each bills of the other values should be withdrawn

Hence, 3($20) + 2($10) + 2($5) = 60+20+10 = $80 is the maximum amount