A toy machine has equal numbers of red, white, and blue foam balls which it releases at random. Ross wonders which color ball will be released next. Select the description of how you can use a standard number cube to model and predict this situation.

A.Let multiples of 2 represent red, let multiples of 3 represent white, and let the remaining numbers represent blue. Toss the cube 50 times to determine the experimental probability for each color. Predict that the next ball will be the color with the greatest experimental probability.

B.Since "red" has three letters and "one," "two," and "six" all have 3 letters, let these represent red. Since "blue" has 4 letters and "four" and "five" have four letters, let these represent blue. Since "white" has five letters and "three" has five letters, let this represent white. Toss the cube 50 times to determine the experimental probability for each color. Predict that the next ball will be the color with the greatest experimental probability.

C.Let 1 and 2 represent red, let 3 and 4 represent white, and let 5 and 6 represent blue. Toss the cube 50 times to determine the experimental probability for each color. Predict that the next ball will be the color with the greatest experimental probability.

D.Let even numbers represent red, let odd numbers represent white, and let prime numbers represent blue. Toss the cube 50 times to determine the experimental probability for each color. Predict that the next ball will be the color with the greatest experimental probability.

Answer:

Since there are three colors and a standard number cube has 6 sides, you can let the numbers 1 and 2 represent red, 3 and 4 represent white, and 5 and 6 represent blue. Then roll the number cube repeatedly, recording the results for each roll. After you have recorded a sufficient number of rolls, determine which color was rolled the most often.

RESULT

Let the numbers 1 and 2 represent red, 3 and 4 represent white, and 5 and 6 represent blue.

Option (C) predicts the probability of the above situation correctly is the correct answer.

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

A toy machine has equal numbers of red, white, and blue foam balls which it releases at random.

Ross wonders which color ball will be released next.

A standard number cube is used to model and predict this situation.

A standard number cube has six faces namely 1,2,3,4,5,6.

There are three foam balls. If we assign two numbers for each foam, then we can able to predict the probability of next foam by rolling it for number of times.

Thus from the given options, Let 1 and 2 represent red, let 3 and 4 represent white, and let 5 and 6 represent blue. Toss the cube 50 times to determine the experimental probability for each color. Predict that the next ball will be the color with the greatest experimental probability. This option determines the above situation.

Hence we can conclude that option (C) predicts the probability of the above situation correctly is the correct answer.

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