Let {?1,?2} be two error events and we are interested in P(?1∪?2), the probability of the...
Let {?1,?2} be two error events and we are interested in
P(?1∪?2), the probability of the union of two events. Explain what
the union (upper) bound is and state when t he equality of this
upper bound holds.
Homework Answers
Boole’s inequality is used to find the upper bound of union of events:
If 
are n events then the upper bound of union of events is the sum of
the probabilities of n events:
Given Information:
are
two given error events.
The upper bound of union of two given error events is calculated using Boole’s inequality and is given by:
Hence, the upper bound of union of
two given error events is 
.
If the two given error events are mutually exclusive then
.
Using the addition rule of probability:
The equality of this upper bound holds when the two given error events are mutually exclusive.
Add Answer to:
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