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A spinner that is divided into four equals sections is spun 100 times and it lands on green 32 times

what is the experimental probability of spinning green? compare the experimental probability of spinning green to its theoretical probability.

A spinner that is divided into four equals sections is spun 100 times and it lands-example-1
User Metahamza
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1 Answer

7 votes

Answer:

E Probability=32%

Theoretical Probability=25%

Experimental Probability has higher chance of happening.

Explanation:

The experimental probability of spinning green can be calculated by dividing the number of times green was landed on (32) by the total number of spins (100):

Experimental probability of spinning green = Number of green spins / Total number of spins = 32/100 = 0.32

Therefore, the experimental probability of spinning green is 0.32 or 32%.

To find the theoretical probability of spinning green, we need to divide the number of green sections on the spinner by the total number of sections on the spinner:

Theoretical probability of spinning green = Number of green sections / Total number of sections = 1/4 = 0.25

Therefore, the theoretical probability of spinning green is 0.25 or 25%.

Comparing the experimental probability of spinning green (0.32 or 32%) to its theoretical probability (0.25 or 25%), we can see that the experimental probability is higher than the theoretical probability. This suggests that the spinner is biased towards landing on green more often than we would expect by chance. However, we would need to conduct more trials to determine if this difference is statistically significant.

Based on the probabilities calculated above, the experimental probability of spinning green (0.32 or 32%) is higher than the theoretical probability of spinning green (0.25 or 25%). This means that in this particular set of 100 spins, the spinner is more likely to land on green than we would expect based on chance alone. However, we should note that probabilities are not guarantees of what will happen, and the spinner could still land on any of the four sections in any given spin.

User Scornork
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