Which of the following statements best defines mutually exclusive events? a. two events are mutually exclusive if it is impossible for the two events to occur simultaneously. b. two events are mutually exclusive if the occurrence of one event has no effect on the probability of the other. c. two events are mutually exclusive if the intersection between the sample spaces of the two events is not empty. d. two events are mutually exclusive if the union of the sample spaces of the two events is not empty.

Question

Caitlin Porter

Mathematics

20 December, 09:02

Which of the following statements best defines mutually exclusive events? a. two events are mutually exclusive if it is impossible for the two events to occur simultaneously. b. two events are mutually exclusive if the occurrence of one event has no effect on the probability of the other. c. two events are mutually exclusive if the intersection between the sample spaces of the two events is not empty. d. two events are mutually exclusive if the union of the sample spaces of the two events is not empty.

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Lila Duarte · Answer 1

Two events are mutually exclusive if they cannot occur at the same time.

So, I would go with A.

examples:

turning left and turning right are mutually exclusive because u cant do both at the same time.

tossing a coin, picking heads and picking tails are mutually exclusive.