Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321755936
ISBN 13: 978-0-32175-593-3

Chapter 3 - Probability - Exercises 3.35 - 3.62 - Learning the Mechanics - Page 131: 3.43b

Answer

P(A) = P(HHH) + P(HHT) +P(HTH) + P(HTT) + P(THH) + P(THT) + P(TTH) = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 +1/8 = 7/8 P(B) = P(HTT) + P(HTT) + P(THT) + P(TTH) = 1/8 + 1/8 + 1/8 + 1/8 = 4/8 = 1/2 P(AUB) = P(HHH) + P(HHT) +P(HTH) + P(HTT) + P(THH) + P(THT) + P(TTH) = 7/8 P(A^{c}) = 1 - 7/8 = 1/8 P (A∩B) = P(HTT) + P(HTT) + P(THT) + P(TTH) = 1/2

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