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How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin 3 times?

2 Answers

3 votes

There are 8 combinations. A P E X :)

User Sohilv
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2 votes
n = 3 is the number of times the coin is tossed. Since there are 2 outcomes per toss, this means that there are 2^n = 2^3 = 2*2*2 = 8 outcomes total. Therefore, there are 8 leaves total.

If we make
H = heads
T = tails

Then here are the 8 outcomes in the sample space
HHH
HHT
HTH
THH
HTT
THT
TTH
TTT


User Turanga
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7.8k points