00:01
Construct a probability model for flipping three fair coins.
00:05
Assume these are all fair coins.
00:07
None of them are weighted.
00:08
Everything is going to be 50 -50 between heads and tails.
00:11
Let's show this one with a probability tree.
00:15
Let's say that our first coin flip will either result in heads or tails.
00:20
We know that to be true.
00:22
Well, if we flip and land on heads the first coin, we could still have heads or tails on the second coin.
00:30
If we land on heads then another heads, we could still get heads or tails on the third coin.
00:37
Same if we had heads than tails, we could get heads or tails on the third.
00:42
And we're going to see a very similar tree down below.
00:45
If we get tails on our first flip, we could still get heads or tails next.
00:50
If we got heads on our second flip, we could still then get heads or tails.
00:54
If we got tails on our second flip, we could still get heads or tails.
00:59
So what this is showing us is 1, 2, 3, 4, 5, 6, 7, 8 outcomes.
01:05
Is this what we should have predicted? well, the answer is yes.
01:08
Two possibilities on the first coin...