Question

A bag contains eleven equally sized marbles, which are numbered.

11 numbered marbles are shown. Marbles 2, 6, 7, 8, 10 and 11 are white. Marbles 1, 3, 4, 5, and 9 are shaded purple.

What is the probability that a marble chosen at random is shaded or is labeled with a multiple of 3?
Two-elevenths
Three-elevenths
Five-elevenths
Six-elevenths

Answer 1

The probability that a marble chosen at random is shaded or is labeled with a multiple of 3 is P = 6/11

How to find the probability?

We know that there are 11 marbles.

• {2, 6, 7, 8, 10, 11} are white.
• {1, 3, 4, 5, 9} are shaded purple.

Now we want to find the probability of getting a shaded purple or multiple of 3 marble.

First, we know that there are 5 marbles shaded purple, and of the white ones we have the one with the number 6, which is a multiple of 3.

Then there are a total of 6 (out of 11) marbles that meet the conditions, so the probability is:

P = 6/11

If you want to learn more about probability:

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