1) Player A, B, and C play a quiz game. For each question, a player who rings a buzzer first has an opportunity to answer the question. For each question, only one player can answer the question, and player A, B, and C have 20%, 30%, and 50% chance of ringing the buzzer respectively. Once given an opportunity to answer, player A, B, and C have 50%, 40%, and 30% chance of making the right guess respectively. Questions are independent to each other, and every question is answered. (a) Once a question is asked, find the probability that player A gives the correct answer. (b) Once a question is asked, find the probability that the answer is correct. (c) Find the probability that given that the answer is correct, the player who answered it is A.
1) Player A, B, and C play a quiz game. For each question, a player who rings a buzzer first has an opportunity to answer the question. For each question, only one player can answer the question, and player A, B, and C have 20%, 30%, and 50% chance of ringing the buzzer respectively. Once given an opportunity to answer, player A, B, and C have 50%, 40%, and 30% chance of making the right guess respectively. Questions are independent to each other, and every question is answered. (a) Once a question is asked, find the probability that player A gives the correct answer. (b) Once a question is asked, find the probability that the answer is correct. (c) Find the probability that given that the answer is correct, the player who answered it is A.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.8: The Multiplication Principle
Problem 18E
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Transcribed Image Text:1) Player A, B, and C play a quiz game. For each question, a player who rings a buzzer first
has an opportunity to answer the question. For each question, only one player can answer
the question, and player A, B, and C have 20%, 30%, and 50% chance of ringing the buzzer
respectively. Once given an opportunity to answer, player A, B, and C have 50%, 40%,
and 30% chance of making the right guess respectively. Questions are independent to each
other, and every question is answered.
Transcribed Image Text:(a) Once a question is asked, find the probability that player A gives the correct answer.
(b) Once a question is asked, find the probability that the answer is correct.
(c) Find the probability that given that the answer is correct, the player who answered
it is A.
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