Ten children (five boys and five girls) are standing in line. Assume that all possible ways in which they might line up are equally likely. a. What is the probability that they appear in line in alphabetical order by name? Please assume no two of the children have the same name. b. What is the probability that all the girls precede all the boys? NOTE: As before, please write your fraction answers as a/b. Do not convert to a decimal.
Ten children (five boys and five girls) are standing in line. Assume that all possible ways in which they might line up are equally likely. a. What is the probability that they appear in line in alphabetical order by name? Please assume no two of the children have the same name. b. What is the probability that all the girls precede all the boys? NOTE: As before, please write your fraction answers as a/b. Do not convert to a decimal.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Ten children (five boys and five girls) are standing in line. Assume that all possible ways in which they might line up are equally likely.
a. What is the probability that they appear in line in alphabetical order by name? Please assume no two of the children have the same name.
b. What is the probability that all the girls precede all the boys?
NOTE: As
before, please write your fraction answers as a/b. Do not convert to a decimal.
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