Please show me all the steps to solving the problem also you can use comment field to explain the work
QUESTION: 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 rubber band
b. find the theoretical probability of selecting a brown rubber band
a) the number of pink divided by the total number of pink and brown.
b) the number of brown divided by the total number of pink and brown.
john but for
a) it comes out to be 0.5135135
and for
b) it comes out to be 0.4864864
are you sure those are correct??
yes
To find the theoretical probability of selecting a pink rubber band, you need to divide the number of pink rubber bands by the total number of rubber bands in the box. Here are the steps:
a. Find the theoretical probability of selecting a pink rubber band:
Step 1: Count the number of pink rubber bands in the box. In this case, there are 95 pink rubber bands.
Step 2: Count the total number of rubber bands in the box. In this case, there are 95 pink rubber bands + 90 brown rubber bands, which gives a total of 185 rubber bands.
Step 3: Divide the number of pink rubber bands (95) by the total number of rubber bands (185) to get the theoretical probability of selecting a pink rubber band, which is 95/185.
Therefore, the theoretical probability of selecting a pink rubber band is 95/185.
b. Find the theoretical probability of selecting a brown rubber band:
Step 1: Count the number of brown rubber bands in the box. In this case, there are 90 brown rubber bands.
Step 2: Count the total number of rubber bands in the box. In this case, there are 95 pink rubber bands + 90 brown rubber bands, which gives a total of 185 rubber bands.
Step 3: Divide the number of brown rubber bands (90) by the total number of rubber bands (185) to get the theoretical probability of selecting a brown rubber band, which is 90/185.
Therefore, the theoretical probability of selecting a brown rubber band is 90/185.