Let's say there is a wheel that is split into 9 numbered sections (labelled 1 – 9). Below is the table of how many times the spinner landed on each number after numerous spins.spinner number: 1 2 3 4 5 6 7 8 9result: 12 35 72 29 40 18 9 65 42Based on this result, what is the experimental probability of the spinner landing on a 1 or 7?0.0840.0650.0370.001
Question
Let's say there is a wheel that is split into 9 numbered sections (labelled 1 – 9). Below is the table of how many times the spinner landed on each number after numerous spins.spinner number: 1 2 3 4 5 6 7 8 9result: 12 35 72 29 40 18 9 65 42Based on this result, what is the experimental probability of the spinner landing on a 1 or 7?0.0840.0650.0370.001
Solution
To calculate the experimental probability of the spinner landing on a 1 or 7, we need to follow these steps:
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First, we need to find the total number of spins. We do this by adding up all the results: 12 (for 1) + 35 (for 2) + 72 (for 3) + 29 (for 4) + 40 (for 5) + 18 (for 6) + 9 (for 7) + 65 (for 8) + 42 (for 9) = 322 total spins.
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Next, we need to find the total number of times the spinner landed on a 1 or 7. We do this by adding the results for 1 and 7: 12 (for 1) + 9 (for 7) = 21.
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Finally, we calculate the experimental probability by dividing the number of successful outcomes (landing on a 1 or 7) by the total number of outcomes (total spins). So, 21 (for 1 or 7) ÷ 322 (total) = 0.0652.
So, the experimental probability of the spinner landing on a 1 or 7 is approximately 0.065 or 6.5%. Therefore, the correct answer from the options provided is 0.065.
Similar Questions
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