"quantity"exercise:Probability
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Questions 1:
By definition, the probability of any Event E is a number between:
A 、zero and positive infinity.
B 、minus one and positive one.
C、 zero and positive one.
Questions 2:
Two events A and B are independent if the probability of occurrence of A:
A 、equals the product of the individual probabilities of occurrence of A and B.
B 、is related to the occurrence of B.
C 、does not affect the probability of occurrence of B.
C is correct. The two defining properties of a probability are as follows:
1 The probability of any Event E is a number between zero and one.
2 The sum of the probabilities of any set of mutually exclusive and exhaustive events equals one.
A is incorrect because the probability of any event E is a number between 0 and 1.
B is incorrect because the probability of any event E is a number between 0 and 1.
C is correct. When two events are independent, the events are unrelated and the probability of occurrence of one event does not affect the other.
A is incorrect because when two events are independent, the joint probability of both events, not one event, equals the product of the individual probabilities of both events.
B is incorrect because an event is considered dependent when the probability of occurrence of one event is related to the occurrence of the other event.
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