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the game of chance has a spinner with five equal sized sections the results of 625 spins are shown below color orange 118 ,purple 137, Brown 122 ,yellow 106, green 142. for which color is experimental probability closest to the theoretical probability explained​

the game of chance has a spinner with five equal sized sections the results of 625 spins are shown below color orange 118 purple 137 Brown 122 yellow 106 green class=

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Answer:

Brown.

Step-by-step explanation:

Theoretical probability for each:

 625

   5

= 125

122 is closest to 125. Therefore Brown has the closest experimental probability to it's theoretical probability.

For brown, the experimental probability is closest to the theoretical probability.

What is the theoretical probability?

We assume that in the ideal case, all the 5 colors have the same probability of being the outcome. Then the probability for each color will be:

P = 1/5 = 0.20

We need to see for which color the experimental probability is closest to 0.20.

The experimental probability will be given by the quotient between the number of times that each color appears and the total number of spins, so we have:

  • Orange: P = 118/625 = 0.1888
  • Purple: P = 137/625 = 0.2192
  • Brown: P = 122/625 = 0.1952
  • Yellow: P = 106/625 = 1.696
  • Green: P = 142/625 = 0.2272

As you can see, the closest one to 0.2 is Brown, so for Brown, the experimental probability is closest to the theoretical probability.

If you want to learn more about probability, you can read:

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