Nadia has 5 red 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.
color: frequency
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)
When entering the responses, remember to include the ZERO before the decimal if necessary, For example, if the answer is 0.47, you must enter the zero for the answer to be counted correctly.
Theoretical P(blue) = blank remember to round your answer to the nearest hundredth
Experimental P(blue) Remember to round your answer to the nearest hundredth.
The theoretical probability of pulling a blue cube out of the bag can be calculated by dividing the number of blue cubes (3) by the total number of cubes (5+3+8+4=20).
Theoretical P(blue) = 3/20 ≈ 0.15
The experimental probability of pulling a blue cube out of the bag can be calculated by dividing the frequency of pulling a blue cube (4) by the total number of times Nadia pulled a cube from the bag (14).
Experimental P(blue) = 4/14 ≈ 0.29
Therefore, the theoretical probability of pulling a blue cube is 0.15 and the experimental probability is 0.29.