Events
A
and
B
are mutually exclusive. Suppose event
A
occurs with probability
0.59
and event
B
occurs with probability
0.38
.
A
occurs orB
does not occur (or both).A
occurs withoutB
occurring orB
occurs withoutA
occurring.We are given here that A and B are mutually exclusive here. Therefore P(A and B) = 0
Also, we are given here that: A occurs with probability 0.59 and
event B occurs with probability 0.38.
Therefore, P(A) = 0.59 and P(B) = 0.38
a) The probability here is computed as:
P(A occurs or B does not occur) = 1 - P(B occurs and A does not
occur) = 1 - P(B) = 1 - 0.38 = 0.62
Therefore 0.62 is the required probability here.
b) Probability that either A occurs without B occurring or B
occurs without A occurring is computed here as:
= P(A) + P(B)
= 0.59 + 0.38 = 0.97
Therefore 0.97 is the required probability here.
Events A and B are mutually exclusive. Suppose event A occurs with probability 0.59 and event...
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