Louis has 3 red marble, 5 blue marbles, 4 yellow marbles, and 8 black marbles in a bag. He records the colors marble he pulls from the bag and puts the marbles back in the bag 14 times. The table below shows the frequency he pulled each color.
Red 2
Blue 4
Yellow 2
Black 6
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:
Number of times yellow marble was pulled = 2
Total number of trials = 14
Experimental probability = Number of times yellow marble was pulled / Total number of trials
Experimental probability = 2/14
Experimental probability = 0.14
Theoretical probability:
Total number of marbles = 3 + 5 + 4 + 8 = 20
Number of yellow marbles = 4
Theoretical probability = Number of yellow marbles / Total number of marbles
Theoretical probability = 4/20
Theoretical probability = 0.20
Rounding to the nearest hundredth:
Experimental probability of pulling a yellow marble = 0.14
Theoretical probability of pulling a yellow marble = 0.20