Which of the following numbers could not possibly be probabilities? Justify your answer. a.

Which of the following numbers could not possibly be...

Transcript

00:03 Hi, everyone.

00:04 So in this video, we're going to talk about what is a probability and what numbers really can be probabilities and what numbers cannot be probabilities and why certain numbers are probabilities and why certain ones aren't.

00:20 Also, looking at what is really a probability when we're talking about probability, how does that relate to percentages when we're using that in everyday lives? so first thing we're going to do, we're going to look at this question.

00:34 Let's say we're given a whole bunch of numbers, and we want to know, can these numbers be probabilities? why? why could they be probabilities? all right.

00:44 So by definition, a probability is any number between, let's write this down.

00:51 Okay, so a probability is any number between zero and one.

00:56 And then we have this word in.

01:01 So we write that.

01:04 All right.

01:05 There we go.

01:06 Inclusive.

01:07 Okay, so inclusive.

01:09 What is the word inclusive mean? if we see the word inclusive, we kind of think the word include.

01:16 Okay, so let's write i -n -c -l -u -d -e.

01:21 All right.

01:21 So include means that something is actually part of something else.

01:26 So if i'm saying i included this thing in my order, that means that it was part of order.

01:34 So when we're talking about a number or a range of numbers such as 0 to 1 inclusive, that means on our number line, so if we have the number 0 here and we'll put the number 1 here, so now we have 0 .5, 0 .75, let's put our 0 .25 right here.

01:54 Okay, so we have all numbers in between here as well.

01:58 Inclusive means that we want everything from 0 .0.

02:03 All the way to one.

02:07 And we're going to have filled in dots here because we're actually including these values.

02:11 So if it's something that is, say right here, 1 .1, okay, that is not part of this range because we only want to go up to 1 .000000 with no extra decimal at the end of that.

02:29 Okay, so if we're looking at a probability, let's look at a.

02:33 First one is saying we have 0 .462.

02:36 Okay, well, 0 .462 is about, let's say, right here.

02:41 It's a little less than 0 .5.

02:43 All right.

02:44 So that number is less than 1, and it's greater than 0.

02:48 So this one is a probability.

02:51 Okay, so now let's look at the next one.

02:53 We have negative 0 .201.

02:58 Okay, so if we're looking on our number line, our negatives are in this direction and are positives are in this direction.

03:05 So negative 0 .02 or negative point two is going to be about right here.

03:11 Okay, so that's actually, let's put negative 0 .201 right here and let's write a 462 right here.