Question

The theater director offered every member of the drama one vote for which play they preferred to perform. The director found that 3 5 % 35% voted for The Oddems Family, that 5 7 % 57% voted for Thirteenth Night, and that 8 % 8% did not vote. In this group, are the events "Oddems Family" and "Thirteenth Night" mutually exclusive?

Answer 1

Yes, In this group the events "Oddems Family" and "Thirteenth Night" are mutually exclusive.

Step-by-step explanation:

Two events are called mutually exclusive if the intersection of these events is null set or Ф.

The director found that 35% voted for The Oddems Family, that 57% voted for Thirteenth Night, and that 8% did not vote.

One person can vote for only one drama, so the number of persons who vote for "Oddems Family" and "Thirteenth Night" both are 0.

Since the intersection of "Oddems Family" and "Thirteenth Night" is null set, therefore the group the events "Oddems Family" and "Thirteenth Night" are mutually exclusive.

Answer 2

Yes, in this group both events "Oddems Family" and "Thirteenth Night" are mutually exclusive.

Step-by-step explanation:

Mutually exclusive is an statistical term which means the probability of occurrence of two separate event at the same time is zero. It means two events can not be occurred simultaneously.

For example, if we roll the deck ant the probability of coming 1 and 6 at the same time is zero and both events do not depends upon each others occurrence.

Hence only one drama can run in theater at one time. So they are mutually exclusive events.