Anais placed 100 slips of paper, all equally sized and shaped, into a bag. Each slip was colored either red, blue, green, or orange. The red slips were numbered 1 - 25

Question

the blue slips were numbered 26-40
the green slips were numbered 41-75
and the orange slips were numbered 76-100

What is the probability that Anais pulls out a blue slip of paper?

Responses


2 fifths


3 over 20


7 over 20


1 fourth
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Answer 1

To find the probability that Anais pulls out a blue slip of paper, we first need to determine the total number of blue slips and the total number of slips.

1. Total slips of paper: 100 (25 red, 15 blue, 35 green, 25 orange)
2. Total blue slips: 15 (numbered 26 to 40)

The probability \( P \) of an event occurring is given by the formula:

\[ P(\text{blue slip}) = \frac{\text{Number of blue slips}}{\text{Total number of slips}} \]

Substituting the values:

\[ P(\text{blue slip}) = \frac{15}{100} = \frac{3}{20} \]

So, the probability that Anais pulls out a blue slip of paper is \( \frac{3}{20} \).

Therefore, the correct response is:

3 over 20