Question

A bag contains 4 red pencils, 6 blue pencils, and 5 green pencils. A pencil is randomly selected, its color is recorded, and it is returned to the bag. This is repeated 1350 times.

Answer 1

The expected number of times to select a green pencil when the pencils are selected 1350 times is 450

How to determine the number of times?

The distribution of the pencils is given as:

Red = 4

Blue = 6

Green = 5

The total number of pencil is:

Total = 4 + 6 + 5

Evaluate the sum

Total = 15

The probability of selecting a green pencil is:

P(Green) = 5/15

Evaluate

P(Green) = 1/3

So, the expected number of times is:

E(x) = 1/3 * 1350

Evaluate

E(x) = 450

Hence, the expected number of times to select a green pencil is 450

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