8. Airlines would like to board passengers in the order of decreasing seat numbers (large seat number first, second largest next, and so on), but passengers don't like this policy and refused to go along. If two passengers randomly board a plane but probability that they board in order of decreasing some seat numbers is 1/2; If three passengers randomly board the plane the probability that they board in order of decreasing seat number is 1/6; If four passengers randomly board a plane the probability that they board in order of decreasing seat number is 1/24; and if five passengers randomly board a plane, the probability they board in order of decreasing seat number is 1/120. Use the sequence 1/2, 1/6, 1/24, 1/120,... as your guide, a) Determine the probability that if six passengers randomly board a plane they board in order of decreasing seat numbers. Enter your answer as a fraction. 1 b) Determine the probability that if 12 passengers randomly board a plane, they board in order of decreasing seat numbers. Enter your answer as a fraction. Check 1 ✓

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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8. Airlines would like to board passengers in the order of decreasing seat numbers (large seat number first, second largest next, and so on), but passengers don't like this policy and refused to go along. If two passengers randomly board a
plane but probability that they board in order of decreasing some seat numbers is 1/2; If three passengers randomly board the plane the probability that they board in order of decreasing seat number is 1/6; If four passengers
randomly board a plane the probability that they board in order of decreasing seat number is 1/24; and if five passengers randomly board a plane, the probability they board in order of decreasing seat number is 1/120. Use the
sequence 1/2, 1/6, 1/24, 1/120, ... as your guide,
a) Determine the probability that if six passengers randomly board a plane they board in order of decreasing seat numbers. Enter your answer as a fraction. 1
b) Determine the probability that if 12 passengers randomly board a plane, they board in order of decreasing seat numbers. Enter your answer as a fraction.
Check
1
✓
x
Transcribed Image Text:8. Airlines would like to board passengers in the order of decreasing seat numbers (large seat number first, second largest next, and so on), but passengers don't like this policy and refused to go along. If two passengers randomly board a plane but probability that they board in order of decreasing some seat numbers is 1/2; If three passengers randomly board the plane the probability that they board in order of decreasing seat number is 1/6; If four passengers randomly board a plane the probability that they board in order of decreasing seat number is 1/24; and if five passengers randomly board a plane, the probability they board in order of decreasing seat number is 1/120. Use the sequence 1/2, 1/6, 1/24, 1/120, ... as your guide, a) Determine the probability that if six passengers randomly board a plane they board in order of decreasing seat numbers. Enter your answer as a fraction. 1 b) Determine the probability that if 12 passengers randomly board a plane, they board in order of decreasing seat numbers. Enter your answer as a fraction. Check 1 ✓ x
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