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 of pulling a yellow marble:
Number of times yellow marble was pulled = 4
Total number of times marbles were pulled = 14
Experimental Probability = 4/14 = 0.29
Theoretical probability of pulling a yellow marble:
Total number of yellow marbles = 4
Total number of marbles = 3 + 5 + 4 + 8 = 20
Theoretical Probability = 4/20 = 0.20
Therefore, the experimental probability of pulling a yellow marble is 0.29 and the theoretical probability is 0.20.
Color. Frequency
Red. 2
Blue. 4
Yellow. 2
Black. 6
Experimental probability of pulling a yellow marble:
Number of times yellow marble was pulled = 2
Total number of times marbles were pulled = 14
Experimental Probability = 2/14 = 0.14
Theoretical probability of pulling a yellow marble:
Total number of yellow marbles = 4
Total number of marbles = 2 + 4 + 2 + 6 = 14
Theoretical Probability = 2/14 = 0.14
Therefore, the experimental probability of pulling a yellow marble is 0.14 and the theoretical probability is 0.14.
U sure
Oops, made an error in the theoretical calculation.
Given:
Number of yellow marbles = 4
Total number of marbles = 14
Theoretical Probability = Number of yellow marbles / Total number of marbles
Theoretical Probability = 4 / 14 = 0.29
Therefore, after recalculating, the theoretical probability of pulling a yellow marble is actually 0.29, not 0.14. Thank you for pointing that out!