In a bag containing 15 billiard balls of three colors - red, yellow and white, Frank picks a ball at random, notes down the color and replaces it. He repeats this experiment 25 times and the results are shown in the table. Which is the best prediction of the number of balls of each color in the bag?

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07-05-2015
Mathematics

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In a bag containing 15 billiard balls of three colors - red, yellow and white, Frank picks a ball at random, notes down the color and replaces it. He repeats this experiment 25 times and the results are shown in the table. Which is the best prediction of the number of balls of each color in the bag?

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cowpie333221 cowpie333221 · Answer 1 · 2015-05-07T20:17:29-04:00

cowpie333221 cowpie333221

07-05-2015

so there are 5 of each color
then there are 15 in total
so (5 over 15) to the 25th power

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jainveenamrata jainveenamrata · Answer 2 · 2022-05-17T01:30:21-04:00

If the probability of each ball is 1/3. Then the best prediction of the number of balls of each color in the bag will be 8.33.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

In a bag containing 15 billiard balls of three colors - red, yellow, and white.

Frank picks a ball at random, notes down the color, and replaces it.

He repeats this experiment 25 times and the results are shown in the table.

Let there be equal numbers of each red, yellow, and white ball.

Red = 5

Yellow = 5

White = 5

Then the probability of the getting one color will be

[tex]p = \dfrac{5}{15}\\\\\\p = \dfrac{1}{3}[/tex]

Then the best prediction of the number of balls of each color in the bag will be

[tex]E(x) = 25 \times \dfrac{1}{3}\\\\E(x ) = 8.33[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

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What is probability?

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