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.

Question

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
19 over 100

Answer 1

To find the probability of "no red" marbles being drawn in the experiment, we need to look at the outcomes where no red marble is drawn.

The only outcome that results in no red marbles being drawn is "Blue, Blue."

From the given data, the frequency of the outcome "Blue, Blue" is 21.

The total number of experiments conducted is 100.

To find the probability of no red marbles being drawn (which is "Blue, Blue"), we can use the formula:

\[ P(\text{no red}) = \frac{\text{Frequency of "Blue, Blue"}}{\text{Total Experiments}} \]

Substituting the values:

\[ P(\text{no red}) = \frac{21}{100} \]

So, the answer is 21 over 100.