The probability of A or B equals the probability of A plus the probability of B. so, the event is not mutually exclusive because of the P(A and B) = 0.1, not 0.
<h2>Given that,</h2>
The probability for event A is 0.3, the probability for event B is 0.6,
and the probability of events A or B is 0.8.
<h3>We have to
find,</h3>
Why are the events not mutually exclusive?
<h3>
According to the
question,</h3>
The probability for event A is 0.3, the probability for event B is 0.6,
and the probability of events A or B is 0.8.
P(A) = 0.3
P(B) = 0.8
and P(A∪B) = 0.8
When two events are said to be mutually exclusive when both the events cannot take place simultaneously.
Mutually exclusive events always undergo different outcomes.
These events are also known as disjoint events.
Mutually exclusive events prevent the second event to take place when the first event appears.
<h3>The probability of
mutually exclusive events follows;</h3>
The probability of A and B together equals 0,
P(A and B) = 0
The probability of A or B equals the probability of A plus the probability of B,
P(A or B) = P(A) + P(B)
Therefore,
P(A or B) = P(A) + P(B) = 0.3 + 0.6 = 0.9
Here, 0.9 ≠ 0.8
Thus, the events are not mutually exclusive.
Hence, The event is not mutually exclusive because the P(A and B) = 0.1, not 0.
For more details about Probability refer to the link given below.
brainly.com/question/14071639