Luis has 3 red marbles, 5 blue marbles, 4 yellow marbles, and 8 black marbles in a bag. He records the color marble he pulls from the bag and puts the marble back in the bag 14 times. The table below shows the frequency he pulled each color.

Question

What are the experimental and theoretical probability of pulling a yellow marble out of the bag? Round your answer to the nearest hundredth.
Experimental probability
Theoretical probability

Answer 1

Experimental probability:
Number of times yellow marble was pulled = 2
Total number of pulls = 14

Experimental probability = 2/14 = 0.14

Theoretical probability:
Total number of marbles = 3 + 5 + 4 + 8 = 20
Number of yellow marbles = 4

Theoretical probability = 4/20 = 0.20

Therefore, the experimental probability of pulling a yellow marble is 0.14, and the theoretical probability is 0.20.