Airlines would like to board passengers in the order of decreasing seat numbers (largest seat number first, second largest next, and so on), but passengers don't like this policy and refuse to go along. If two passengers randomly board a plane the probability that they board in order of decreasing seat numbers is 12; if three passengers randomly board a plane the probability that they board in order of decreasing seat numbers is 16; if four passengers randomly board a plane the probability that they board in order of decreasing seat numbers is 124; and if five passengers randomly board a plane, the probability that they board in order of decreasing seat numbers is 1120. Using the sequence 12 , 16 , 124 , 1120 , ... as your guide, a. determine the probability that if six passengers randomly board a plane they board in order of decreasing seat numbers. b. determine the probability that if 12 passengers randomly board a plane they board in order of decreasing seat numbers.
Airlines would like to board passengers in the order of decreasing seat numbers (largest seat number first, second largest next, and so on), but passengers don't like this policy and refuse to go along. If two passengers randomly board a plane the probability that they board in order of decreasing seat numbers is 12; if three passengers randomly board a plane the probability that they board in order of decreasing seat numbers is 16; if four passengers randomly board a plane the probability that they board in order of decreasing seat numbers is 124; and if five passengers randomly board a plane, the probability that they board in order of decreasing seat numbers is 1120. Using the sequence 12 , 16 , 124 , 1120 , ... as your guide, a. determine the probability that if six passengers randomly board a plane they board in order of decreasing seat numbers. b. determine the probability that if 12 passengers randomly board a plane they board in order of decreasing seat numbers.
Solution Summary: The author explains the probability of six passengers board a plane in order of decreasing seat numbers for the given condition.
Airlines would like to board passengers in the order of decreasing seat numbers (largest seat number first, second largest next, and so on), but passengers don't like this policy and refuse to go along. If two passengers randomly board a plane the probability that they board in order of decreasing seat numbers is 12; if three passengers randomly board a plane the probability that they board in order of decreasing seat numbers is 16; if four passengers randomly board a plane the probability that they board in order of decreasing seat numbers is 124; and if five passengers randomly board a plane, the probability that they board in order of decreasing seat numbers is 1120. Using the sequence
12
,
16
,
124
,
1120
,
...
as your guide,
a. determine the probability that if six passengers randomly board a plane they board in order of decreasing seat numbers.
b. determine the probability that if 12 passengers randomly board a plane they board in order of decreasing seat numbers.
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