Answer :
The two events are not mutually exclusive.
Two events are said to be mutually exclusive events if both the events cannot happen at the same time.
When you roll a dice, get 3 and 6 at the same time is a mutually exclusive event.
You can get either 3 or 6. If one occurs the other cannot occur.
Here we have two events
set 1 - Presidential candidates who won the state of Texas
set 2 - Presidential candiates who the elections.
Candidates who win an election can be part of set 2. Hence the candidates who won in Texas will be part of set 2.
Hence if set 1 occurs, set 2 will also occurs. Set 1 does prevent set one from occuring.
Here both the events happen at the same time.
Hence the two events are not mutually exclusive.
We also see that the two set intersect each other indicating they are not mutually exclusive. Since mutually exclusive events do not have anything in common.
Final answer:
Mutually exclusive events in a Venn diagram are represented by non-overlapping circles. If there's any overlap, the events are not mutually exclusive. Analysis of the provided diagram can confirm this.
Explanation:
In the subject of Mathematics, specifically in the area of probability and statistics, the concept of mutually exclusive events refers to events that cannot occur at the same time. In terms of a Venn diagram, this would mean that the two circles representing the events do not overlap. If there is any area of overlap indicating that both events can occur simultaneously, then the events are not mutually exclusive. By analyzing the given Venn diagram, you would be able to determine whether the events are mutually exclusive or not, based on the existence or absence of such overlap area between the circles representing the events.
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