Question

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

Answer 1

There are 8 combinations. A P E X :)

Answer 2

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