Question
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
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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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
Skip to navigation
Answers
GPT-4o mini
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
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