You have 36 possible outcomes.

So let's just think about it.

I have eight possible outcomes.

So there are 1, 2, 3, 4, 5, 6, 7, 8 possible outcomes.

We can draw a little bit of a grid here.

You see that they're 12 outcomes because there's 12 possible outcomes.

The area of this is going to be 6 times 6.

So you have counting 1, 2, 3 of the possible outcomes are associated with this event.

Each cell of this grid, each box in this grid, would represent an outcome.

So let's think about the sample space, here.

Since the test itself evaluates to a Boolean we could just return right away.

And then when I flip it again I get 2 more come for the second one.

Now, so this right over here is the sample space.

Well, what is the size of our sample space?

Secretary is equal to Robert.

It's going to be equal to the number of outcomes that give us doubles so it's going to be equal to 6 over the number of the total number of possible outcomes.

Well, we already said there are a total of 36 total possible outcomes.

When we have an impasse we can pick a node that looks closer to the goal state.

So there's 2 to the eighth possible outcomes when you flip a fair coin eight times.

Each of these cells or each of these boxes in a grid are a possible outcome.

So these would represent all of the possible outcomes when you guess on each problem.

We could get all heads over here.

Six outcomes associated with this event.

And in general, when I'm flipping a fair coin five times in a row there are going to be 32 possible outcomes.

Here the nodes that can be pruned.

So just with the word outcomes it should be the total number of outcomes in which what we're saying happens.

So it's one outcome out of the total number of outcomes, over the total number of possibilities.

And then the possible outcomes for the second prize would be A or C.

And I don't want to confuse you with that, because it's abstract and impossible.

I want you to click on all the terminal states that are possible outcomes for this game if both players play rationally.

So the probability of flipping exactly 2 heads is equal to the 3 outcomes with 2 heads divided by the 8 possible outcomes, or 3 8.

And 6 over 36 is 1 6.

Now, what are each of these probabilities?

This is only one head, only one head, no heads.

imperfections in the skin ? ...just microscopic, never repeat and vastly affect the outcome. That's what?

While you can still deterministically move your pieces, the outcome of an action also involves throwing of the dice, and you can't predict those.

The result is neither good nor bad.

In that case, we'll have evidence for partial mediation.

The result rounding is defined by the round, which can have the following values

old habits plus old technology have predictable consequences.

The I. Q. test you took in prison.

Yes, that is part of testing.

And in a lot of familiar cases, they of course are.

Independent analysis from anonymous employees on their surveys.

She's been monitoring the situation closely and she assures me that the problem is well in hand.