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Which of the following are true?
I. Two events are disjoint if they can’t both occur at the same time.
II. Two events are independent if they have the same probability.
III. An event and its complement have probabilities that always add up to 1.

A) I only
B) II only
C) III only
D) I and II only
E) I and III only

Respuesta :

absor201

Option E) I and III only is the correct answer

Step-by-step explanation:

First of all we have to define the disjoint events and independent events

Disjoint events:

Two events are said to be mutually exclusive or disjoint if they cannot occur at the same time. There will be no common elements in their outcomes.

Independent Events:

Two events are said to be independent if the probability of occurrence of one event doesn't affect the probability of occurrence of other event.

Moreover,

The sum of probability of an events occurrence and its complement is 1.

So by looking at the definitions we can say that statement I and statement III are true

Hence,

Option E) I and III only is the correct answer

Keywords: Probability, events

Learn more about probability at:

  • brainly.com/question/9214411
  • brainly.com/question/9196410

#LearnwithBrainly

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