A cereal company hopes to increase its sales by putting prizes in randomly selected boxes of its lowest-selling children’s cereal. The company claims that the probability of getting a prize is 0.75.

Which is the correct interpretation of this probability?

A. This company expects to increase cereal sales by 75%.
B. There is a guarantee of getting 3 prizes when buying 4 boxes of this type of cereal.
C. In many, many boxes of cereal of this type, we can expect about 75% of the boxes to contain a prize.
D. The claim of this company is correct if exactly 75 out of 100 boxes of this type of cereal contain a prize.

The probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable. The correct option is C.

What is a probability distribution?

Probability helps us to know the chances of an event occurring. The probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable.

It might be a function, a table etc.

Given that the cereal company hopes to increase its sales by putting prizes in randomly selected boxes of its lowest-selling children’s cereal. The company claims that the probability of getting a prize is 0.75.

The correct interpretation of this probability is that in many, many boxes of cereal of this type, we can expect about 75% of the boxes to contain a prize. This is because in such a case the sample size is large enough for the probability to be true.

Hence, The correct interpretation of this probability is that in many, many boxes of cereal of this type, we can expect about 75% of the boxes to contain a prize.

Learn more about Probability Distribution:

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