I have a problem that is suppose to be very basic, but it's hard for me to understand.(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Sets and Events

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