00:01
For this question, we consider an experiment where we first flip a coin.
00:05
And if we get a head, then we flip the coin a second time.
00:11
But if we get a tail, then we toss a die once.
00:16
And for part a, we're asked to draw a tree diagram for this experiment.
00:20
So let the first generation of branches be the first coin toss.
00:25
Two possible outcomes.
00:34
So it could be heads or it could be tails.
00:38
If it's heads, we toss the coin one more time, in which case there's two possible outcomes, either heads or tails again.
00:50
And if we get tails, then we roll a die, and it's a six -face die, presumably, so there are six outcomes.
01:04
So let's label some probabilities, assuming that it's a fair coin.
01:07
It's a half chance of being heads, half chance of being tails.
01:11
This branch is half, this branch is half.
01:13
And if it's a fair coin, fair dye, each of these branches is 1 over 6 probability...