The spinner below is used in a carnival game. The table shows the actual number of times the spinner landed on different colors after being spun 40 times.What color has the same theoretical and experimental probability of the spinner landing on it? A) red B) black c blueD green

The spinner below is used in a carnival game The table shows the actual number of times the spinner landed on different colors after being spun 40 timesWhat col class=

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Answer:

B. Black

Explanation:

On the spinner, there are 10 sections.

The theoretical probability of getting a certain colour is as follows.

Black = 2 sections / 10 sections = 1/ 5

Blue = 4 sections / 10 sections

Red = 3 sections / 10 sections

Green = 1 section / 10 sections

Now the experimental probability is the actual probability of getting a certain colour when the spinner was spun.

There were a total of 40 spins and the probabilities of getting a certain color is given by the table. From the table, we extrapolate the experimental probability as follows

Black = 8 / 40 = 1/ 5

Blue = 12 / 40 = 3/ 10

Green = 10 / 40 = 1/ 4

Red = 10 / 40 = 1/4

From the above, we see that the experimental probability of Black is equal to the theoretical probability.

Hence, choice B is correct.

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