Solution Found!
A true-false question is to be posed to a husband-and-wife
Chapter 3, Problem 64P(choose chapter or problem)
Problem 64P
A true-false question is to be posed to a husband-and-wife team on a quiz show. Both the husband and the wife will independently give the correct answer with probability p. Which is a better strategy for the couple?
Choose one of them and let that person answer the questionHave them both consider the question and then either give the common answer if they agree or if they disagree, flip a coin to determine which answer to give.
Questions & Answers
QUESTION:
Problem 64P
A true-false question is to be posed to a husband-and-wife team on a quiz show. Both the husband and the wife will independently give the correct answer with probability p. Which is a better strategy for the couple?
Choose one of them and let that person answer the questionHave them both consider the question and then either give the common answer if they agree or if they disagree, flip a coin to determine which answer to give.ANSWER:
Step 1 of 2
Given, a true-false question is to be posed to a husband and wife team on a quiz show.
a). To choose one of them and let that person answer the question.
Let A = event that they answer correctly.
H = husband is selected.
W = wife is selected.
Then,
= p
Therefore, each of person has probability p of getting the correct answer, either one selected to represent the couple will answer correctly with probability p.