A spinner with 4 equal sections is spun 20 times. The frequency of spinning each color is recorded in the table below.

Outcome Frequency
Pink 6
White 3
Blue 7
Orange 4


What statement best compares the theoretical and experimental probability of landing on pink?


The theoretical probability of landing on pink is 1/5 and the experimental probability is 50%

The theoretical probability of landing on pink is 1/4 and the experimental probability is 50%


The theoretical probability of landing on pink is 1/5 and the experimental probability is 30%

The theoretical probability of landing on pink is 1/4 and the experimental probability is 30%

Respuesta :

Answer:

D) The theoretical probability of landing on pink is 1/4 and the experimental probability is 30%.

Step-by-step explanation:

Theoretical probability

Theoretical probability refers to the likelihood of an event occurring based on assumptions, without relying on observed data. It is calculated by dividing the number of favourable outcomes by the total number of possible outcomes.

In this case, the spinner has 4 equal sections colored pink, white, blue, and orange. So, the number of favorable outcomes for landing on pink is 1, and the total number of possible outcomes is 4. Therefore, the theoretical probability of landing on pink is 1/4.

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Experimental probability

Experimental probability is based on the actual results of an experiment (gathered by experimenting repeatedly). It is calculated by dividing the recorded number of times an event happens by the total number of trials in the actual experiment.

In this case, there were 20 spins conducted during the experiment, and the spinner landed on pink 6 times. Therefore, the experimental probability of landing on pink is 6/20.

Convert this to a percentage:

[tex]\dfrac{6}{20}=0.3=30\%[/tex]

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Conclusion

The statement that best compares the theoretical and experimental probability of landing on pink is:

  • The theoretical probability of landing on pink is 1/4 and the experimental probability is 30%.
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