A box contains 95 pink rubber bands and 90 brown rubber bands. 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
(I am completely clueless on how to do this. There where two other questions, a part A and part B, but those where easy. I only have this question left and it has me puzzled. Thank you!)
To find the experimental probability of each color, 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 calculated by adding the number of pink occurrences and the number of brown occurrences:
Total trials = Pink occurrences + Brown occurrences
Total trials = 36 + 33
Total trials = 69
Therefore, there were a total of 69 trials conducted.
To find the experimental probability of each color, you need to divide the number of occurrences of each color by the total number of trials:
Experimental probability of Pink = Pink occurrences / Total trials
Experimental probability of Pink = 36 / 69
Experimental probability of Pink ≈ 0.52 (rounded to two decimal places)
Experimental probability of Brown = Brown occurrences / Total trials
Experimental probability of Brown = 33 / 69
Experimental probability of Brown ≈ 0.48 (rounded to two decimal places)
So, the experimental probability of the rubber band being pink is approximately 0.52, and the experimental probability of the rubber band being brown is approximately 0.48.
To find the experimental probability of each color, you need to divide the number of occurrences of each color by the total number of trials or occurrences.
In this case, the total number of occurrences is the sum of the occurrences for both pink and brown rubber bands:
Total occurrences = 36 (Pink) + 33 (Brown) = 69
Now, let's calculate the experimental probability for each color:
Experimental probability of pink = Number of occurrences of pink / Total occurrences
Experimental probability of pink = 36 / 69 ≈ 0.5217 (rounded to four decimal places)
Experimental probability of brown = Number of occurrences of brown / Total occurrences
Experimental probability of brown = 33 / 69 ≈ 0.4783 (rounded to four decimal places)
So, the experimental probability of pink is approximately 0.5217, and the experimental probability of brown is approximately 0.4783.
clearly, based on the 69 draws,
P(pink) = 36/69
P(brown) = 33/69