Jar Marbles

A jar contains 5 red marbles, numbered 1 to 5, and 12 blue marbles numbered 1 to 12.

a) A marble is chosen at random. If you're told the marble is red, what is the probability that it has the number 3 on it?

b) The first marble is replaced, and another marble is chosen at random. If you're told the marble has the number 1 on it, what is the probability the marble is red?

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  1. a) one of the five red marbles has the number 3 on it, so the probability is 1/5

    b) two marbles have the number 1 on them, one red and one blue
    ... so the probability is 1/2

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