Independent Events Occurring Simultaneously Product Rule -...

Independent Events Occurring Simultaneously Product Rule - the probability of two (or more) independent events occurring together can be calculated by multiplying the individual probabilities of the events Results of Tossing Two Coins 40 Times Result Observed Number Expected Number Deviation (Obs - Exp) 2 Heads (HH) 1 Head and 1 Tail (HT or TH) 2 Tails (TT) Totals 40 40 0

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Transcript

00:01 So here we're asked to do an experiment where we toss coins 40 times.

00:08 And if you have two heads, the result of having two heads, right? the result of having one head is one half.

00:20 The result of having another head is one half.

00:23 One half times one half is one fourth.

00:26 Or 25%.

00:29 25 % of 40 is going to be 10 would be your 10 would be expected this would be your expected your expected your expected number and then deviation over here i'm gonna go ahead and race this because we went over that it's the same probability for the others right to have one head one tail it's gonna be you have one out of two chance of having a head times one out of two chance of having a tail, which will be one fourth.

01:23 One fourth of 40 is 10, right? and it's going to be the same with two tails.

01:42 10.

01:43 Okay.

01:45 So your expected number out of 40, actually, this one right here, you're expected is probably going to be 20 because you could have one head, your options for flipping a coin.

02:06 Okay.

02:07 You can have, let's say your first coin, oops, that's a racer.

02:13 First coin, second coin.

02:15 You can have this one be a head, this one be a head.

02:18 Okay.

02:19 Or you can have that one be a head and that one be a tail.

02:24 Or you can have this one be a, okay, head...

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