Concept explainers
Kiersten applies for admission to the University of Southern California (USC) and Florida State University (FSU). She estimates that she has a
What is the probability that she will be admitted to either USC or FSU?
What is the probability that she will not be admitted to FSU?
(a)
To calculate: The probability that Kiersten will be admitted to either USC or FSU, if Kiersten estimates that she has a
Answer to Problem 12CT
Solution:
The probability that Kiersten will be admitted to either USC or FSUis
Explanation of Solution
Given information:
Kiersten estimates that she has a
Formula used:
Probability of the union of two events is;
Calculation:
Denote, the event that Kiersten of being admitted to USC by
Kiersten estimates that she has a
Thus,
To find the probability that Kiersten will be admitted to either USC or FSU, that to find
Thus,
Therefore, the probability that Kiersten will be admitted to either USC or FSU is
(b)
To calculate: The probability that Kiersten will not be admitted to FSU, if Kiersten estimates that she has a
Answer to Problem 12CT
Solution:
The probability that Kiersten will not be admitted to FSU is
Explanation of Solution
Given information:
Kiersten estimates that she has a
Formula used:
The formula to find probability of the complement of an event
Calculation:
Denote, the event of Kiersten being admitted to USC by
Kiersten estimate that she has a
Therefore, use the formula to find probability of the complement of an event.
Thus,
Therefore, the probability that Kiersten will not be admitted to FSU is
Chapter 13 Solutions
Precalculus
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