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Question

Consider an experiment of rotating a spinner 40 times. The table given below shows the results of the experiment conducted. Find the experimental probability of spinning the color - Orange.


Color Occurances
Orange 8
Green 12
Blue 5
Yellow 15

A
18
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B
310
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C
15
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D
38
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Solution

The correct option is C 15

On spinning the given spinner can stop at any of these colors - Orange, Yellow, Blue and Green.


The given table shows the results of spinning the spinner 40 times:
Color Occurances
Orange 8
Green 12
Blue 5
Yellow 15


From the table, we can see that 8 times Orange color appears when we rotate the spinner 40 times.

Let P(O) denotes the experimental probability of obtaining Orange color.

P(O)=Number of times an event occursTotal number of times an experiment is conducted

P(O)=840

P(O)=15

The experimental probability of obtaining an Orange color when the spinner is rotated 40 times is 15.


Therefore, option (c.) is the correct answer.

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