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)
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there are six possible events for the die, namely, 1, 2, 3, 4, 5, 6
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therefore, we have the following
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(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)
(T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)
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there are 12 possible events
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Answer by ikleyn(52884) (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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