How are disjoint events related to complementary events? Explain your reasoning, and give examples to justify...

How are disjoint events related to complementary events? Explain your reasoning, and give examples to justify your ideas. Your post must have a minimum of 5 sentences.

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Expert Solution

The given question can be solved by using the definition of disjoint events and complementary events to find the relationship between the two.

The disjoint events are related to the complementary events by the fact that all complementary events are disjoint events but the converse is not true.

This happens because the complementary event is defined only for 2 sample space, the first one is the sample and the second one is its complement.

For example, getting a number 2 or 3 on the rolling of a dice once is a disjoint event because occurrence of one automatically implies the non-occurrence of the other.

But occurrence of 2 or 3 on the rolling of dice once is not a complementary event because the sum of probability of occurrence of them and their complement doesn't equal to 1.

milcah answered 1 year ago

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