You and your little sister decide to play a game of "ABC cup hunt". You take 26 cups and label each with a letter from A to Z. You place all of the cups upside down on a table but under one of the cups you place a chocolate frog. You know where the chocolate is but your sister does not. You ask your sister to choose the cup under which she thinks there is a frog. tal median hourly earnings by sex as reported by the Australian Bureau of statistics, teristics of Employment, Australia, August 2021. 1 (a) What are the odds against your sister selecting the cup with the chocolate frog hidden underneath it? Your sister chooses a cup but you do not reveal what is underneath. Instead you overturn 24 other cups under which you know there is no frog. You then ask your sister if she wants to look under the cup she originally chose or if instead she would like to choose the final cup that remains upside down. She chooses to alter her choice and thus chooses to look under the other cup that remains upside down. (b) What are the odds in favour of you selecting the chocolate frog from the 25 remaining cups? (c) What are the updated odds in favour of your sister selecting the chocolate frog with her new choice? (Hint: note here that the total odds that the frog is in one of these 25 cups does not change.)
You and your little sister decide to play a game of "ABC cup hunt". You take 26 cups and label each with a letter from A to Z. You place all of the cups upside down on a table but under one of the cups you place a chocolate frog. You know where the chocolate is but your sister does not. You ask your sister to choose the cup under which she thinks there is a frog. tal median hourly earnings by sex as reported by the Australian Bureau of statistics, teristics of Employment, Australia, August 2021. 1 (a) What are the odds against your sister selecting the cup with the chocolate frog hidden underneath it? Your sister chooses a cup but you do not reveal what is underneath. Instead you overturn 24 other cups under which you know there is no frog. You then ask your sister if she wants to look under the cup she originally chose or if instead she would like to choose the final cup that remains upside down. She chooses to alter her choice and thus chooses to look under the other cup that remains upside down. (b) What are the odds in favour of you selecting the chocolate frog from the 25 remaining cups? (c) What are the updated odds in favour of your sister selecting the chocolate frog with her new choice? (Hint: note here that the total odds that the frog is in one of these 25 cups does not change.)
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:You and your little sister decide to play a game of "ABC cup hunt".
You take 26 cups and label each with a letter from A to Z. You place
all of the cups upside down on a table but under one of the cups you
place a chocolate frog. You know where the chocolate is but your sister
does not. You ask your sister to choose the cup under which she thinks
there is a frog.
stal median hourly earnings by sex as reported by the Australian Bureau of statistics,
cteristics of Employment, Australia, August 2021.
1
(a) What are the odds against your sister selecting the cup with the
chocolate frog hidden underneath it?
Your sister chooses a cup but you do not reveal what is underneath.
Instead you overturn 24 other cups under which you know there is no
frog. You then ask your sister if she wants to look under the cup she
originally chose or if instead she would like to choose the final cup that
remains upside down. She chooses to alter her choice and thus chooses
to look under the other cup that remains upside down.
(b) What are the odds in favour of you selecting the chocolate frog
from the 25 remaining cups?
(c) What are the updated odds in favour of your sister selecting the
chocolate frog with her new choice? (Hint: note here that the
total odds that the frog is in one of these 25 cups does not change.)
(d) Was your sister's decision to alter her choice the correct decision?
Give reasons for your answer.
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