Pirate's Booty

Probability Level 3

There are three caskets of treasure. The first casket contains 33 gold coins, the second casket contains 22 gold coins and 22 bronze coins, and the third casket contains 22 gold coins and 11 silver coin. You choose one casket at random and draw a coin from it. The probability that the coin you drew is gold has the value ab \frac {a}{b}, where aa and bb are coprime positive integers. What is the value of a+ba+b?

×

Problem Loading...

Note Loading...

Set Loading...