Concept explainers
a.
Check whether the probability formula for the probability of the union of two events with the correct probability.
a.
Answer to Problem 8E
The correct answer is (iii).
Explanation of Solution
Given information:
Probability of the union of two events
Formula Used:
The formula of union of two events is
Calculation:
Write the formula of the probability of the union of two events.
Let A and B are the events in
The probability of the union of two events or probability of AorBis:
Hence, the correct answer is (iii).
b.
Check whether the probability formula for the probability of mutually exclusive events with the correct probability.
b.
Answer to Problem 8E
The correct answer is (i).
Explanation of Solution
Given information:
Probability of mutually exclusive events
Formula Used:
The formula of mutually exclusive events is
Calculation:
Write the formula of the probability of mutually exclusive events.
Let A and B are mutually exclusive, then the formula is:
Hence, the correct answer is (i).
c.
Check whether the probability formula for the probability of independent events with the correct probability.
c.
Answer to Problem 8E
The correct answer is (iv).
Explanation of Solution
Given information:
Probability of independent events
Formula Used:
The formula of independent events is
Calculation:
Write the formula of the probability of independent events.
Let A and B are independent events, then the formula is:
Hence, the correct answer is (iv).
d.
Check whether the probability formula for the probability of a complement with the correct probability.
d.
Answer to Problem 8E
The correct answer is (ii).
Explanation of Solution
Given information:
Probability of a complement
Formula Used:
The formula of a complement is
Calculation:
Write the formula of the probability of a complement.
Let Ais an event, then the notation of complement of Ais
When A and
Thus, the probability of complement of A is:
Hence, the correct answer is (ii).
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
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