Question
Bob has $2$ jars in front of him, say A and B. Jar A has $4$ blue and $6$ red marbles. Jar B has $5$ blue and $3$ red marbles. If Bob selects a uniformly random marble from each jar, find the probability that they match in color.
easy Probability
A release-checked easy problem for training Law of Total Probability, Conditional Probability.
Bob has $2$ jars in front of him, say A and B. Jar A has $4$ blue and $6$ red marbles. Jar B has $5$ blue and $3$ red marbles. If Bob selects a uniformly random marble from each jar, find the probability that they match in color.
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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