Understanding Two Dice Events: EF, E U F, FG, EF^(c), and EFG

  • Context: Undergrad 
  • Thread starter Thread starter knowLittle
  • Start date Start date
  • Tags Tags
    Dice Events
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
2 replies · 4K views
knowLittle
Messages
307
Reaction score
3
I have a problem that is suppose to be very basic, but it's hard for me to understand.

Problem:
Two dice are thrown. Let E be the event that the sum of the dice is odd; let F be the event that at least one of the dice lands on 1; and let G be the event that the sum is 5. Describe the events EF, E U F, FG, EF^(c), and EFG.
Note that EF means intersection of the two.

My problem is in E U F.
Why isn't it (1,1) considered? Doesn't it fulfill the requirements of either the sum of dice is odd OR at least one dice lands on a 1?
Namely, that one dice lands on a 1.

The solution from the book is:
S={ (1,2), (1,4), (1,6) ,( 2,1 ) , (4,1) , (6,1) , (2,3) ,(2,5) ,(3,2) , (3,4) ,(3,6 ) ,(4,3) , (4,5) , (5,2) , (5,4) , (5,6) , (6,3),(6,5) } Thank you.
 
Last edited:

Discussion

Physics news on Phys.org
(1,1) is in [itex]E\cup F[/itex]. If the book says it is not, then the book is wrong.
 
Thank you. It's very annoying to have books like this. My Introduction to Probability and Statistics is filled with typos. It's horrible to be introduced to Probability with textbooks like this.