A box contains 95 pink rubber bands and 90 brown rubber bands. You select a rubber band at random
from the box. Find each probability. Write the probability as a fraction in simplest form.
a. Find the theoretical probability of selecting a pink ribber band.
b. Find the theoretical probability of selecting a brown rubber band.
c. 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 hope this helps! :)
total bands: 185
P(pink) = 95/185 = 19/37
P(brown) = 90/185 =18/37
Thank you soo much
You're welcome.
a. To find the theoretical probability of selecting a pink rubber band, we need to divide the number of pink rubber bands by the total number of rubber bands in the box.
Total number of rubber bands = 95 (pink) + 90 (brown) = 185
The theoretical probability of selecting a pink rubber band = 95/185 = 19/37.
b. To find the theoretical probability of selecting a brown rubber band, we divide the number of brown rubber bands by the total number of rubber bands in the box.
The theoretical probability of selecting a brown rubber band = 90/185 = 18/37.
c. To find the experimental probability of each color, we divide the number of occurrences for each color by the total number of trials (occurrences).
Total number of trials = number of pink occurrences + number of brown occurrences = 36 + 33 = 69.
Experimental probability of pink = Number of pink occurrences/Total number of trials = 36/69 = 4/23.
Experimental probability of brown = Number of brown occurrences/Total number of trials = 33/69 = 11/23.