Consider the following.(a) Explain why −0.41 cannot be the probability of some event.A probability must be between zero and one.A probability must be greater than one. A probability must be an integer.(b) Explain why 1.21 cannot be the probability of some event.A probability must be between zero and one.A probability must be an integer. A probability must be negative.(c) Explain why 120% cannot be the probability of some event.A probability must be between zero and one.A probability must be an integer. A probability must be negative.(d) Can the number 0.56 be the probability of an event? Explain.No, this is too large to be a probability.No, a probability cannot be positive. Yes, it is a number between 0 and 1.Yes, it is a number between 0.5 and 1.
Question
Consider the following.(a) Explain why −0.41 cannot be the probability of some event.A probability must be between zero and one.A probability must be greater than one. A probability must be an integer.(b) Explain why 1.21 cannot be the probability of some event.A probability must be between zero and one.A probability must be an integer. A probability must be negative.(c) Explain why 120% cannot be the probability of some event.A probability must be between zero and one.A probability must be an integer. A probability must be negative.(d) Can the number 0.56 be the probability of an event? Explain.No, this is too large to be a probability.No, a probability cannot be positive. Yes, it is a number between 0 and 1.Yes, it is a number between 0.5 and 1.
Solution
(a) -0.41 cannot be the probability of some event because a probability must be between zero and one. It cannot be negative.
(b) 1.21 cannot be the probability of some event because a probability must be between zero and one. It cannot be greater than one.
(c) 120% cannot be the probability of some event because a probability must be between zero and one. In percentage terms, it cannot be greater than 100%.
(d) Yes, the number 0.56 can be the probability of an event because it is a number between 0 and 1.
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