Artempts Scoe: /7 2. Sample spaces and events ere undegraduate student, were sur

Question

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Explanation / Answer

Mutually exclusive events does not have any common elements in them. Exhaustive events are those out of which one event must occur in every scenario. A simple event is one in which there is only one outcome.

The events B and F are not mutually exclusive events.

The events O,C and B are not exhaustive.

Event O is a simple event.

The set S={O,B} is not a correct description of the sample space for the random experiment because the events in S are not exhaustive.

We know that C is the complementary event of the event O. The probability for event O to happen is given to be 0.70. Therefore we have,

P(C) = 1-0.70 = 0.30

Event O, F and B are mutually exhaustive. hence we have,

P(F) = 1-0.70-0.09 = 0.21

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