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Mathematics 18 Online
OpenStudy (anonymous):

Suppose you roll a six-sided die two times hoping to get two numbers whose sum is even. What is the sample space? How many favorable outcomes are there?

Parth (parthkohli):

\[\mathsf{\text{I always prefer such tables } \Large \ddot \smile } \]

Parth (parthkohli):

\[\mathsf{\text{Sample space } } \text{is simply the number of boxes you can see there.} \]\[\text{Or, could say that the sample space is the number of possible outcomes.} \]

OpenStudy (anonymous):

i still dont get it ihave a hard time with this kind of subject

Parth (parthkohli):

\[\mathsf{\text{How many possible outcomes do you see in that table?}} \]

OpenStudy (anonymous):

6 ?

Parth (parthkohli):

\[\mathsf{\text{No. There's 36 I can see there in the table.}} \]

OpenStudy (anonymous):

yea my bad i meant to write 36 my computer dsnt type well

Parth (parthkohli):

So that'd make the sample space, okay?

OpenStudy (anonymous):

okay

Parth (parthkohli):

Now, how many \(\mathsf{even}\) numbers do you see in that table?

OpenStudy (anonymous):

18?

Parth (parthkohli):

Wait. I forgot to count them :P

OpenStudy (anonymous):

lol :P

Parth (parthkohli):

Yeah that's correct. 18.

OpenStudy (anonymous):

ok

Parth (parthkohli):

Those are the number of outcomes you want. Therefore, they are the \(\textbf{favourable outomes}\).

OpenStudy (anonymous):

omg thank you your such a grea help :D

Parth (parthkohli):

Haha! I teach and learn on this site \(\ddot \smile\)

OpenStudy (anonymous):

awesome :D

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