How many possibilities are there for a tree diagram if you flip 2 coins?
Question
How many possibilities are there for a tree diagram if you flip 2 coins?
Solution
When you flip a coin, there are two possible outcomes: heads (H) or tails (T).
- For the first flip, you have 2 possibilities: H or T.
- For the second flip, you also have 2 possibilities: H or T.
However, the second flip is independent of the first, so for each outcome of the first flip, there are 2 possible outcomes of the second flip.
Therefore, you multiply the number of outcomes:
2 (from the first flip) * 2 (from the second flip) = 4 total possible outcomes.
So, the possibilities are: HH, HT, TH, TT.
Therefore, there are 4 possibilities for a tree diagram if you flip 2 coins.
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