>>13153229Answer is 66,6666666666666666666666%
One you’ve drawn a gold coin, you know you’ve chosen from either the first or second box above. The third box, containing only silver coins, becomes irrelevant.
You’ve thus chosen a gold coin from the first two boxes. There are three gold coins among them, and thus if you picked a gold coin on your first draw, the probability that you chose from box #1 is 2/3. The probability that you chose it from box #2 is 1/3.
If you chose from box #1, the probability that you will then draw a second gold coin is 1 (100%).
If you chose from box #2, the probability that you will then draw a second gold coin is 0 (0%) for there are no gold coins left.
Thus, the overall probability that if you got a gold coin on the first pick then you will get another one if drawing from the same box is (2/3 X 1) + (1/3 X 0), or 2/3 (probability 67%). The answer is thus 2/3 (probability 67%).
A low IQ person will say it's 50%
