Question

Instructions:

What is the meaning of mutually exclusive events? What is meant by collectively exhaustive? In your responses, please give an example of each. Please also comment on the examples provided by other students in your responses to others.

Answer 1

Answer:

Mutually exclusive events :

Here two occasions (or recommendations) are fundamentally unrelated or disjoint on the off chance that the two of them can't happen simultaneously.

For example, we can take a case of flipping a coin, we know there are different sides heads and tails, of coin, when we flip single coin; it can result in either heads or tails, yet not both.

Regarding Logic, two totally unrelated recommendations are suggestions that sensibly can't be valid in a similar sense simultaneously.

Aggregately Exhaustive :

Again consider a similar case of currency flipping, the two results are, in principle, by and large thorough, which implies that in any event one of the results must occur, so these two prospects together fumes all the potential outcomes. So we can say that, a lot of occasions is together or all in all comprehensive if in any event one of the occasions must happen.

For instance, when rolling a six-sided bite the dust, the results 1, 2, 3, 4, 5, and 6 are all things considered thorough, in light of the fact that they include the whole scope of potential results. At the end of the day, occasions An and B are said to be altogether thorough if their association must cover all the occasions inside the whole example space.

Presently think about this:

The arrangement of all beyond words is both on the whole comprehensive and totally unrelated. The results 1 and 6 are totally unrelated however not all things considered thorough (in light of the fact that we can't have 1 and 6 together in single roll, so fundamentally unrelated, yet their association won't contain different results like 2,3,4,5) .

The results "even" and "not-6" are all in all thorough however not totally unrelated.

(on the grounds that 2 is "even" and "not - 6", so the two results happen at the same time.

Hence its not totally unrelated. Anyway the association of these two will contain all results.)