Nadia has 5 cubes, 3 blue cubes, 8 yellow cubes, and 4 black cubes. She records the color cube she pulls from the bag and puts the cube back in the bag 14 times. The table below shows the frequency she pulled each color.
Red 2
Blue 4
Yellow 2
Black 6
What are the experimental and theoretical probability of pulling a blue cube out of the bag? Enter your answer as a decimal rounded to the nearest hundredth (2 places after the decimal)
Experimental probability of pulling a blue cube:
Number of times blue cube was pulled = 4
Total number of pulls = 14
Experimental probability = Number of times blue cube was pulled / Total number of pulls
Experimental probability = 4 / 14
Experimental probability = 0.29
Theoretical probability of pulling a blue cube:
Total number of blue cubes = 3
Total number of cubes = 5 + 3 + 8 + 4 = 20
Theoretical probability = Number of blue cubes / Total number of cubes
Theoretical probability = 3 / 20
Theoretical probability = 0.15
So, the experimental probability of pulling a blue cube out of the bag is 0.29, and the theoretical probability is 0.15.