"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.

View answer resolution

【Answer to question 1】C

【analysis】

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.

【Answer to question 2】C

【analysis】

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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