An English Christmas carol entitled "The Twelve Days of Christmas" enumerates a series of increasingly grand gifts given on each of the twelve days of Christmas. These gifts in sequential order are known to be (12) Twelve Drummers Drumming, (11) Eleven Pipers Piping, (10) Lords-a-Leaping, (9) Nine Ladies Dancing, (8) Eight Maids-a-Milking, (7) Seven Swans-a-Swimming, (6) Six, Geese-a-Laying, (5) Five Golden Rings, (4) Four Calling Birds, (3) Three French Hens, (2) Two Turtle Doves, and a Partridge in a Pear Tree. Assuming that at the end of the twelve days of Christmas, all accumulated gift items given each day can be put together in one place and that each gift item is equally likely to be selected and individually packed (e.g. two turtle doves are 2 separate gift items, three French hens are three individual gift items, and so on). Suppose you'll have to randomly select 5 gift items without replacement from the total number of gift items received, what is the probability that you will get the following gift items: one turtle dove, one French hen, and three drummers drumming? Show complete solution.
An English Christmas carol entitled "The Twelve Days of Christmas" enumerates a series of increasingly grand gifts given on each of the twelve days of Christmas. These gifts in sequential order are known to be (12) Twelve Drummers Drumming, (11) Eleven Pipers Piping, (10) Lords-a-Leaping, (9) Nine Ladies Dancing, (8) Eight Maids-a-Milking, (7) Seven Swans-a-Swimming, (6) Six, Geese-a-Laying, (5) Five Golden Rings, (4) Four Calling Birds, (3) Three French Hens, (2) Two Turtle Doves, and a Partridge in a Pear Tree. Assuming that at the end of the twelve days of Christmas, all accumulated gift items given each day can be put together in one place and that each gift item is equally likely to be selected and individually packed (e.g. two turtle doves are 2 separate gift items, three French hens are three individual gift items, and so on). Suppose you'll have to randomly select 5 gift items without replacement from the total number of gift items received, what is the probability that you will get the following gift items: one turtle dove, one French hen, and three drummers drumming? Show complete solution.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:An English Christmas carol entitled "The Twelve Days of Christmas"
enumerates a series of increasingly grand gifts given on each of the twelve days
of Christmas. These gifts in sequential order are known to be (12) Twelve
Drummers Drumming, (11) Eleven Pipers Piping, (10) Lords-a-Leaping, (9) Nine
Ladies Dancing, (8) Eight Maids-a-Milking, (7) Seven Swans-a-Swimming, (6) Six,
Geese-a-laying, (5) Five Golden Rings, (4) Four Calling Birds, (3) Three French
Hens, (2) Two Turtle Doves, and a Partridge in a Pear Tree.
Assuming that at the end of the twelve days of Christmas, all accumulated gift
items given each day can be put together in one place and that each gift item is
equally likely to be selected and individually packed (e.g. two turtle doves are 2
separate gift items, three French hens are three individual gift items, and so on).
Suppose you'll have to randomly select 5 gift items without replacement from the
total number of gift items received, what is the probability that you will get the
following gift items: one turtle dove, one French hen, and three drummers
drumming?
Show complete solution.
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