00:01
So if we flip a fair coin five times, flip a fair coin five times, what's the probability that we get five heads, right, age for heads? so what does that mean? what that really means is it's the probability of getting a head on the first one and a head on the second one and a head on the third.
00:54
And on the fourth and on the fifth.
01:03
So it's the probability of getting h and h and h and h, right, getting heads each time.
01:11
Each flip is independent of each other flip, right? because just because you get heads or tails one time doesn't mean anything for the next flip.
01:31
Each flip is its own event, and each of these events is completely independent.
01:35
They don't depend on each other at all.
01:39
So what's the probability here? well, we have independent events, and they're connected with ands, right? to get five heads, you need a head every time we flip the coin.
01:53
So that means we're going to use the multiplication rule.
02:01
So independent and an mean that we use the multiplication rule.
02:16
Okay.
02:17
So what's the probability with a fair coin, the probability of getting heads? once on one flip is one half, right? heads or tails, they have the same probability, so it's one half.
02:34
So the probability of having that happen five times, probability of five heads is one half times itself five times.
02:48
One half times one half times one half, there's four of them, times one half.
02:59
There's five, which equals one over 32.
03:09
So that's the probability of getting ahead every time when you flip a coin five times.
03:16
It's one over 32...