Question
An experiment is conducted with a bag of marbles containing 5 red and 2 blue marbles. The results of a marble being drawn twice and replaced 100 times are shown in the table.
Outcome Frequency
Red, Red 19
Red, Blue 32
Blue, Blue 21
Blue, Red 28
Find P(no red).
50 over 100
25 over 100
21 over 100
Outcome Frequency
Red, Red 19
Red, Blue 32
Blue, Blue 21
Blue, Red 28
Find P(no red).
50 over 100
25 over 100
21 over 100
Answers
GPT-4o mini
To find the probability of drawing no red marbles (i.e., drawing two blue marbles), we can use the frequency data provided. The frequency for the outcome "Blue, Blue" is 21.
The total number of trials conducted is 100.
The probability \( P(\text{no red}) \) can be calculated as follows:
\[
P(\text{no red}) = \frac{\text{Frequency of Blue, Blue}}{\text{Total Trials}} = \frac{21}{100}
\]
Therefore, the answer is:
\( \frac{21}{100} \)
The total number of trials conducted is 100.
The probability \( P(\text{no red}) \) can be calculated as follows:
\[
P(\text{no red}) = \frac{\text{Frequency of Blue, Blue}}{\text{Total Trials}} = \frac{21}{100}
\]
Therefore, the answer is:
\( \frac{21}{100} \)