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.
Would it be 95/185=19/37
B. Find the theoretical probability of selecting a brown rubber band.
Would it be 90/185=18/37
If not please show me how to do this.

Yes, both are correct. `u`

Thank you so much!!!

You are correct.

Since you have to find the probabilities of picking both rubber band types from the box, you need the total number of rubber bands. Which you added correct.

From there just get the answers by putting the appropriate numbers (for each colors) as the numerators and the sum (185) as the denominators.

I say you are correct.

Yes, you have correctly calculated the probabilities! Let me explain how you arrived at those fractions.

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. So, there are 95 pink rubber bands and a total of 95 + 90 = 185 rubber bands in the box. Therefore, the probability of selecting a pink rubber band is 95/185.

To simplify this fraction, you can divide both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 95 and 185 is 5. Dividing both numbers by 5 gives us 19/37, which is the simplest form of the probability.

Similarly, to find the theoretical probability of selecting a brown rubber band, you divide the number of brown rubber bands by the total number of rubber bands in the box. So, there are 90 brown rubber bands out of 185 rubber bands in total. Therefore, the probability of selecting a brown rubber band is 90/185.

Again, you can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 90 and 185 is 5. Dividing both numbers by 5 gives us 18/37, which is the simplest form of the probability.

Hence, you have correctly calculated the theoretical probabilities of selecting a pink rubber band as 19/37 and a brown rubber band as 18/37.