
Probability and Statistics Basic Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
October 25th, 2018, 05:44 PM  #1 
Newbie Joined: Oct 2018 From: Lake Worth, FL Posts: 1 Thanks: 0  HELP PLEASE! Been on this for days!
There are 17 questions in an quiz with each question having 3 choices(AB&C) but only 1 of the choices is the correct answer. Additionally, In 7 out of the 17 questions, you have the choice of selecting 2 choices (such as A&B or A&C or C&B) if you are not sure of your answer in these questions. Come up with a combination of answers that ensure that you cover all probabilities and get the correct combination of answers. What I mean is, You can do the quiz in more than 1 leaflet (Answering all questions) You can have 10 Leaflets or even 20! but at the END OF THE DAY, ONE LEAFLET OF ANSWERS MUST CONTAIN THE CORRECT ANSWER! Last edited by Young001; October 25th, 2018 at 05:57 PM. 
October 25th, 2018, 06:21 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,324 Thanks: 1233 
10 of the 17 problems need 3 answers each to cover all the possible answers. This is equivalent to a 10 digit base 3 number and thus there are $3^{10} = 59049$ different answer sets to cover all the possibilities. The remaining 7 questions can be covered by 2 answers each and thus there are $2^7 = 128$ answer sets that cover the possibilities of these 7 questions. Multiplying these we have a total of $59049 \cdot 128 = 7558272$ different leaflets 

Tags 
probability, question, tricky 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Tricky Probability Problem  pksinghal  Probability and Statistics  1  February 24th, 2016 04:25 PM 
a tricky probability problem  davedave  Probability and Statistics  1  March 17th, 2014 08:52 PM 
Tricky question in Probability  kaushiks.nitt  Advanced Statistics  9  August 9th, 2013 02:07 PM 
Tricky probability question  can anyone help?  nforrin  Advanced Statistics  12  July 16th, 2013 08:39 PM 
Tricky Probability Problem  tiba  Probability and Statistics  3  June 29th, 2012 02:16 AM 