Which of the following statements are true? A. Probabilities can be any positive value. B. Probabilities must be negative. C. Probabilities can either be positive or negative. D. Probabilities must be nonnegative.

Question

Mathematics

Henry Barker

3 September, 07:59

Which of the following statements are true? A. Probabilities can be any positive value. B. Probabilities must be negative. C. Probabilities can either be positive or negative. D. Probabilities must be nonnegative.

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Answers (1)

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Jakob Kane · Answer 1

Option D

Step-by-step explanation:

Probability is the likelihood or chance of an event occurring.

Probability = the number of ways of achieving success / the total number of possible outcomes

For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P (heads) = ½.

The probability of something which is certain to happen is 1.

The probability of something which is impossible to happen is 0.

The probability of something not happening is 1 minus the probability that it will happen.

By definition we can see that probability lies between 0 and 1 only both inclusive

Hence option D is right.