You repeatedly choose a rubber band from the box, record the color, and put the rubber band back in the box. The results are shown in the table below. Find the experimental probability of each color based on the table.
Outcome. Occurrences
Pink 36
Brown. 33
Please help!
Thank you for the additional information.
The experimental probability of getting a pink rubber band can be calculated as:
Experimental probability of pink = (Number of pink rubber bands) / (Total number of rubber bands)
Experimental probability of pink = 36 / 69
Experimental probability of pink = 0.522 or 52.2%
The experimental probability of getting a brown rubber band can be calculated as:
Experimental probability of brown = (Number of brown rubber bands) / (Total number of rubber bands)
Experimental probability of brown = 33 / 69
Experimental probability of brown = 0.478 or 47.8%
Therefore, the experimental probability of getting a pink rubber band is 0.522 or 52.2%, and the experimental probability of getting a brown rubber band is 0.478 or 47.8%.
There is not enough information given to find the experimental probability of each color. We need to know the total number of rubber bands in the box to calculate the probabilities.
Pink 36
Brown 33
Unfortunately, the total number of rubber bands in the box is still needed to find the experimental probability of each color. Without that information, we cannot determine what fraction of the rubber bands are pink or brown.
69 total rubber bands in box
To find the experimental probability of each color based on the table, you need to divide the number of occurrences of each color by the total number of trials.
In this case, the total number of trials is the sum of the occurrences of all colors, which is 36 + 33 = 69.
For the color pink, the number of occurrences is 36. So, the experimental probability of pink is 36/69.
For the color brown, the number of occurrences is 33. Therefore, the experimental probability of brown is 33/69.
To calculate the probabilities, divide the number of occurrences by the total number of trials:
Experimental probability of pink = 36/69
Experimental probability of brown = 33/69
The experimental probability is an estimate based on the data obtained from the experiment.