Question

A bag of 13 marbles contains 4 marbles with red on them, 6 with blue on them, 7 with green on them, and 4 with red and green on them. What is the probability that a randomly chosen marble has either green or red on it? Note that these events are not mutually exclusive. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the probability that a randomly chosen marble has either green or red on it, we need to consider all marbles that are either green or red.

There are 7 marbles that are green, 4 marbles that are both red and green (which we will include in the calculation as marbles with green on them), and 4 marbles that are only red.

This means there are a total of 7 + 4 = 11 marbles that have either green or red on them.

There are 13 marbles in total, so the probability is:

P = 11 / 13

This simplifies to:

P = 0.846153846 (rounded to the nearest millionth)

Therefore, the probability that a randomly chosen marble has either green or red on it is 0.846.