A special deck of cards has ten cards. Four are green (G), three are blue (B), and three are red (R). When a card is picked, the color of it is recorded. An experiment consists of first picking a card and then tossing a coin, which lands on heads (H) or tails (T). A. List the sample space. (Enter your answer using letter combinations separated by commas. Example: GH, GT, ...) B. Let A be the event that a blue card is picked first, followed by landing a head on the coin toss. Find P(A). (Enter your probability as a fraction.) P(A) = C. Let B be the event that a red or green is picked, followed by landing a head on the coin toss. Are the events A and B mutually exclusive? Explain your answer in one to three complete sentences, including numerical justification. (Enter your probability as a fraction.) A and B Correct: Your answer is correct. mutually exclusive because they Correct: Your answer is correct. happen at the same time. Thus, P(A and B) = . D. Let C be the event that a red or blue is picked, followed by landing a head on the coin toss. Are the events A and C mutually exclusive? Explain your answer in one to three complete sentences, including numerical justification. (Enter your probability as a fraction.) A and C Correct: Your answer is correct. mutually exclusive because they Correct: Your answer is correct. happen at the same time. Thus, P(A and C) = .

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter0: Preparing For Algebra

Section: Chapter Questions

Problem 63POT

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A special deck of cards has ten cards. Four are green (G), three are blue (B), and three are red (R). When a card is picked, the color of it is recorded. An experiment consists of first picking a card and then tossing a coin, which lands on heads (H) or tails (T). A. List the sample space. (Enter your answer using letter combinations separated by commas. Example: GH, GT, ...) B. Let A be the event that a blue card is picked first, followed by landing a head on the coin toss. Find P(A). (Enter your probability as a fraction.) P(A) = C. Let B be the event that a red or green is picked, followed by landing a head on the coin toss. Are the events A and B mutually exclusive? Explain your answer in one to three complete sentences, including numerical justification. (Enter your probability as a fraction.) A and B Correct: Your answer is correct. mutually exclusive because they Correct: Your answer is correct. happen at the same time. Thus, P(A and B) = . D. Let C be the event that a red or blue is picked, followed by landing a head on the coin toss. Are the events A and C mutually exclusive? Explain your answer in one to three complete sentences, including numerical justification. (Enter your probability as a fraction.) A and C Correct: Your answer is correct. mutually exclusive because they Correct: Your answer is correct. happen at the same time. Thus, P(A and C) = .

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