4. Answer the following questions about probabilities. a. Can the number 0.12 be the probability of an event? Explain. b. Can the number 2.7 be the probability of an event? Explain. c. Can the number -39% be the probability of an event? Explain. d. What does it mean if the probability of an event is zero? e. What does it mean if the probability of an event is one?
a. Can the number 0.12 be the probability of an event? Explain.
Yes, the number 0.12 can be the probability of an event. In probability theory, probabilities range from 0 to 1, where 0 represents an impossible event, and 1 represents a certain event. A probability of 0.12 falls within this range, indicating that the event has a chance of occurring
b. Can the number 2.7 be the probability of an event? Explain.
No, the number 2.7 cannot be the probability of an event. Probabilities are always between 0 and 1, inclusive. A probability greater than 1 doesn't make sense in probability theory. It would imply that an event is more than certain, which is not a valid interpretation in the context of probability.
c. Can the number -39% be the probability of an event? Explain.
No, the number -39% cannot be the probability of an event. Probabilities must be non-negative values between 0 and 1. Negative probabilities do not have a meaningful interpretation in probability theory.
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