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.
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
Experimental probability of pulling a yellow marble:
Frequency of pulling a yellow marble = 4
Total trials = 14
Experimental probability = Frequency of pulling a yellow marble / Total trials
Experimental probability = 4 / 14
Experimental probability = 0.29
Theoretical probability of pulling a yellow marble:
Total yellow marbles = 4
Total marbles = 3 + 5 + 4 + 8 = 20
Theoretical probability = Total yellow marbles / Total marbles
Theoretical probability = 4 / 20
Theoretical probability = 0.20
Therefore, the experimental probability of pulling a yellow marble is 0.29 and the theoretical probability is 0.20.