According to the question, to check whether the events are mutually exclusive or not for the even integers.
As per question, select random integer numbers from [tex]1[/tex] to [tex]20[/tex] to get either an even number or a number divisible by [tex]3[/tex].
Therefore , the probability can be written as:
[tex]P(e or d) = \frac{P(E)}{n(E)} = P(e)+P(d)-P(e and d)[/tex]
[tex]= \frac{10}{20} +\frac{6}{20} -\frac{3}{20} = \frac{13}{20} = 65%[/tex]
The event is not mutually exclusive.
Since, the calculated percentage is [tex]65%[/tex] and it is not nearest to tenth of a percent.
What are mutually exclusive events?
Mutually exclusive events are those events which cannot happen at the same time. For instance, in any event nobody can run forward or backward together at the same time.
To learn more about the mutually exclusive from the given link:
https://brainly.com/question/27588497
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