SOLUTION: You are going to be tossing one coin and roll one die. Using a tree diagram, determine how many outcomes are possible and list the sample space. I just wanna make sure I did it

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Question 1134830: You are going to be tossing one coin and roll one die. Using a tree diagram, determine how many outcomes are possible and list the sample space.
I just wanna make sure I did it right in my notes, I asked my teacher as well just waiting for a response. Anything helpful would be appreciated. Thanks.
Found 2 solutions by rothauserc, ikleyn:
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
There are two possible events for the coin, namely, heads(H) and Tails(T)
:
there are six possible events for the die, namely, 1, 2, 3, 4, 5, 6
:
therefore, we have the following
:
(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)
(T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)
:
there are 12 possible events
:
Answer by ikleyn(52887)   (Show Source): You can put this solution on YOUR website!
.
When you solve such problems and become familiar with them for the first time,

it is important and valuable to get from somebody a compact description of the full space of events.



In this problem, the full space of events is the space (the set) of all pairs  (L,i),

where letter L is one of two symbols H or T and "i" is one of 6 integer numbers 1, 2, 3, 4, 5, 6.



"L" and "i" take their values INDEPENDENTLY: "L" takes two values, while "i" takes 6 values,

so the entire space of events consists of 2*6 = 12 pairs / (elements).


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