Question
An experiment is conducted with a bag of marbles containing 5 white and 2 blue marbles. The results of a marble being drawn twice and replaced 100 times are shown in the table.
Outcome Frequency
White, White 27
White, Blue 22
Blue, Blue 18
Blue, White 33
Find P(no blue).
25 over 100
27 over 100
33 over 100
75 over 100
Outcome Frequency
White, White 27
White, Blue 22
Blue, Blue 18
Blue, White 33
Find P(no blue).
25 over 100
27 over 100
33 over 100
75 over 100
Answers
GPT-4o mini
To find the probability of drawing no blue marbles in two draws, we need to find the outcomes that result in drawing only white marbles. The relevant outcome is "White, White."
According to the table:
- The frequency of drawing "White, White" is 27.
To find the probability \( P(\text{no blue}) \), we calculate it as follows:
\[
P(\text{no blue}) = \frac{\text{Frequency of "White, White"}}{\text{Total Frequency}}
\]
The total frequency of all outcomes is 100 (the number of experiments conducted).
Thus, we have:
\[
P(\text{no blue}) = \frac{27}{100}
\]
So, the answer is:
**27 over 100**.
According to the table:
- The frequency of drawing "White, White" is 27.
To find the probability \( P(\text{no blue}) \), we calculate it as follows:
\[
P(\text{no blue}) = \frac{\text{Frequency of "White, White"}}{\text{Total Frequency}}
\]
The total frequency of all outcomes is 100 (the number of experiments conducted).
Thus, we have:
\[
P(\text{no blue}) = \frac{27}{100}
\]
So, the answer is:
**27 over 100**.