Concept explainers
To calculate: The probability one coin shows heads when two coins are tossed provided that at least one coin is tails.
Answer to Problem 14E
The probability one coin shows heads when two coins are tossed provided that at least one coin is tails is
Explanation of Solution
Given information:
Two coins are tossed.
Formula used:
Probability of an event Eis
Given an event Q , the conditional probability of event A is
Calculation:
Consider the provided information thattwo coins are tossed.
The probability one coin shows heads when two coins are tossed provided that at least one coin is tails.
Let A be an event that one coin shows head and B be an event that at least one coin is tails.
Therefore, outcomes of
Recall that probability of an event Eis
Probability that at least one coin is tail,
Probability that one coin shows heads and at least one coin is tails,
Recall that given an event Q , the conditional probability of event A is
The probability one coin shows heads when two coins are tossed provided that at least one coin is tails.
Thus, the probability one coin shows heads when two coins are tossed provided that at least one coin is tails is
Chapter 13 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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