Question

Question #680f3

Answer 1

A mutually exclusive event occurs when there can be only one outcome like rolling a single die. A collectively exhaustive event includes all possible outcomes like 1, 2, 3, 4, 5, and 6 on the die.

Explanation:

Mutually exclusive events include flipping a coin, travelling north or travelling south, standing or sitting. Both cannot be done at the same time, or there can be only one outcome. These events are independent, and there is no intersection of the two sets.

`cancel(Mutually)` Collectively exhaustive samples will provide at least one of every possible outcome for a particular event. For the die tossing example this means we need to see all six numbers (1 to 6) present in the sample to call it collectively exhaustive. If a coin is tossed twice and the result is one head, one tail, the two results are already collectively exhaustive, since there can be no other outcomes.

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