Concept explainers
To calculate: The probability that a student has brown eyes provided that the student has brown hair.
Answer to Problem 33E
The probability that a student has brown eyes provided that the student has brown hairis
Explanation of Solution
Given information:
Percentage of students with brown hair is
Formula used:
Probability of an event Eis
Given an event Q , the conditional probability of event A is
Calculation:
Consider the provided information thatPercentage of students with brown hair is
Let A be an event that student also has brown eyes and B be an event student has brown hair.
Recall that probability of an event Eis
Probability that student has brown hair,
Probability that student has brown eyes also,
Recall that given an event Q , the conditional probability of event A is
The probability that a student has brown eyes provided that the student has brown hair.
Thus, the probability that a student has brown eyes provided that the student has brown hairis
Chapter 13 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
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