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 the simplest form.

A. Find the theoretical probability of selecting a pink rubber 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.

Please explain how you got the answer

Answer 1

@mathmate

Answer 2

@SithsAndGiggles @Luigi0210 @zepdrix

Answer 3

\[\large P(pink)=\frac{number\ of\ pink\ bands}{toal\ number\ of\ bands}\]
You then need to see if the fraction can be simplified.

Answer 4

total*

Answer 5

95/185 simplified to 19/37 ?

Answer 6

Good work! You are correct.
P(brown) = (total number of brown) / (total number of bands)

Answer 7

90/185 simplified to 18/37 right?

Answer 8

Correct again!
For part C, find the total number of occurrences ( pink + brown).
The experimental probabilities are:
P(pink) = (number of pink occurrences) / (total number of occurrences)
P(brown) = (number of brown occurrences) / (total number of occurrences)

Answer 9

69 total occurrences
36/69
33/69

Are occurrences the amount of times the rubber bands were picked out?

Answer 10

Yes. You are correct, but the fractions need to be simplified.

Answer 11

Pink: 12/23
Brown: 11/23

Answer 12

Both answers are correct. Good work!

Answer 13

Thank you so much! Can you help me with one more question?

Answer 14

You're welcome :) Sorry I must log out now.

Answer 15

Thanks anyhow. You helped me allot! :)