easy Probability
A release-checked easy problem for training Law of Total Probability, Conditional Probability.
Two boxes are in front of you. One box has a $\$100$ bill and a $\$1$ bill, while the other has $2$ $\$100$ bills. You pick a box at random and then pick a bill from it at random without replacement. It is an $\$100$ bill. Find the probability you select a second $\$100$ on the next draw.
This Probability problem is tagged Law of Total Probability, Conditional Probability. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.
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