Categorize each of the following statements as true or false.
If an event is unlikely to occur,
its probability will be negative.
No.
Your probability can never be negative.
Even if something is impossible, then the probability will be 0.
If it's highly unlikely, it'll be close to 0,
but it'll be still positive.
Probabilities are always between 0 and 1.
0 means it is impossible.
It cannot happen.
1 means that it's a certainty that it will happen.
And the values in between say how likely or unlikely
they are.
Probabilities greater than 0.5 say,
hey, it's more likely than not.
Probabilities less than 0.5, it's more unlikely than not.
And probabilities of 0.5 say, hey,
it's just as likely to happen or as to not happen.
An event with probability 3/5 is less
likely to occur than an event with probability 3/4.
So 3/5 is a smaller number than 3/4.
We have the same numerator.
We have a larger denominator.
3 is a smaller fraction of 5 than it is of 4.
So since 3/5 is a smaller number than 3/4--
and it's more obvious if you see it as a decimal-- 3/5
is 0.6 while 3/4 is 0.75.
So this is less likely to occur.
This is true.
The probability of getting 1,000 tails in 1,000 tosses of coin
is 0.
So getting 1,000 tails in 1,000 tosses.
In future videos, we'll actually talk about how to calculate it.
It's a very, very low probability,
but it still is possible.
It still is possible.
So the probability is not 0.
It could be a very small positive number close to 0,
but it is not 0.
It's actually possible.
A probability of 0 means that it is impossible.
The probability of winning the lottery is 0.
Once again, you can win the lottery.
It's within the realm of possibility, so it's not 0.
It's a very small number.
It could be close to 0, but it's not 0.
So this is false.
The probability that the sun will
rise in the west tomorrow on earth is 0.25.
So you probably already know, or hopefully know,
that the sun rises in the east.
And assuming that the Earth continues to rotate in the way
that it rotates, it will continue to rise in the east.
Now, there is some ultra, ultra small probability
that an asteroid of the right mass or a meteorite
of the right mass hits earth in the exact right way
to somehow reverse its spin to maybe make
the sun rise in the west, but that's
a super, super, super, duper small probability.
That probability is very, very, very, very, very close to 0.
It's not going to be 0.25.
0.25 is a fairly large probability.
So if this was actually the case, then
as we live our lives, we would be seeing days
where the sun rises on the west.
And we clearly don't see that, so this is false.
The probability that the Obama family's beloved dog, Bo,
will gain access to the President's computer,
log on to dogancestors.com, and leave the country in search
of his long-lost relatives in Portugal is 0.01.
So this seems, if not an impossibility,
a near impossibility, that the dog somehow
will know how to log onto a computer.
This is probably an impossibility.
And then, actually, be able to read something
on a website, type on a website, and then read on a website?
This seems close to an impossibility, if not
an impossibility.
And then, somehow getting a ticket and leaving the country,
and somehow the Secret Service lets them?
This seems pretty close to impossible.
So this probability is pretty darn close to 0.
If it's impossible, it would be 0,
but it'd be much, much closer to 0 than 0.01.
This is a small probability, but this is not super unlikely.
If this was the case, this means that if we had 100 realities
like we had today, 1 out of those 100 realities,
it would be reasonable to expect this scenario to happen,
and we know it's a much, much lower probability than that.
This probability is very, very close to 0.
If this said 0.000 and it had like twenty zeroes and then
a 1, I'd have to think about a little bit more,
but I would say that this is still false, that even 0.01,
as high as it is, is still a low probability.
So we only got one true statement,
and we got a bunch of false ones.