Answer:
(a) P (U and V) = 0.
(b) P (U|V) = 0.
(c) P (U or V) = 0.83.
Step-by-step explanation:
Mutually exclusive events are those events that cannot occur at the same time. That is, if events A and B are mutually exclusive then,
<u>Given</u>:
Events U and V are mutually exclusive.
P (U) = 0.27 and P (V) = 0.56
(a)
As events U and V are mutually exclusive, the probability of their intersection will be 0.
That is,
Thus, the value of P (U and V) is 0.
(b)
The conditional probability of event B given A is:
Compute the value of P (U|V) as follows:
Thus, the value of P (U|V) is 0.
(c)
The probability of the union of two events, say A and B, is
Compute the value of P (U or V) as follows:
Thus, the value of P (U or V) is 0.83.
