>>10820895Alright, people who don't understand probability: you don't count the number of things that can happen, you count the number of WAYS in which they can happen.
There are two ways to pick out a gold ball that will result in another gold ball, but there is only one way to pick out a gold and then a silver.
Option 1:
>pick out leftmost gold ball>second ball goldOption 2:
>pick out 2nd to left gold ball>second ball is goldOption 3:
>pick out final gold ball>second ball is silverThere are only 2 possibilities: your 2nd ball is either gold or silver. But there are two sequences to picking out two gold balls, and there is only one sequence of events that gives gold and silver. You have to treat the gold balls all as individual possibilities. It would help to give them all different names, like G1 G2 and G3. What are the odds of picking G1 or G2 as the second ball? It's not 50%. Probability trips up laymen constantly. Try Monty Hall for more fun.
