When an event is almost certain to happen. its complement will be an unusual event.

Determine whether the statement is true or false.

Answer

General guidance

Concepts and reason
The probability is defined as the measure of the likelihood that an event will occur. The probability value is always lies between 0 and 1.

Probability distribution assigns a probability value to each of the possible value of a random variable.

Fundamentals

The assumptions of the probability are as follows:

1.The probability value must be greater than 0 and not exceeds 1.

2.If probability value is 0 then the event is impossible event.

3.If the probability value is 1 then the event is certain event.

4.The sum of the probability of an event and its complement are equal to 1.

Step-by-step

Step 1 of 2

From the information, observe that when an event is almost certain to happen, its complement will be an unusual event.

The option “False, the complement of an event has an equal probability as the event.”

This option is wrong because the sum of the probability of an event and its complement is equal.

The option “False, the probability of the complement will have a higher probability than the event.”

This option is wrong because we did not confirm which probability is higher without knowing the probability values.

The option “False, the probability of the complement has no relation to the probability of the event.”

This option is also wrong because the probability of an event and its complement are oppositely related.

The options “False, the probability of the complement will have a higher probability than the event.”, “False; the probability of the complement will have a higher probability than the event.” and “False, the probability of the complement has no relation to the probability of the event.” are wrong because of the assumptions of probability.

Step 2 of 2

The given option is “True, the complement would be an unusual event.”

The option is correct.

True, the complement would be an unusual event.


True, the complement would be an unusual event.

This option is correct because the probability of an event is lower and almost equal to 0 then its complement is compulsory an unusual.

Answer

True, the complement would be an unusual event.

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