00:01
Okay, it looks like we have 10 parts in this problem.
00:02
So let's let me go through one by one.
00:04
So number one, which of the following numbers can be the probability of an event? so the probability of an event has always between 0 and 1.
00:12
Zero means it doesn't occur and 1 means always occurs.
00:15
So the only possible answer could be c .0 .18.
00:25
Number two, the set of all possible outcomes with a probability is called.
00:29
It's called the sample space.
00:31
The sample space represents the set of all possible outcomes.
00:36
Think of it as like the universe of possibilities.
00:41
Number three, how many possible outcomes are there when the four coins are tossed? well, the way you want to calculate this is the multiplication rule.
00:51
For each toss, you have two possibilities.
00:54
So you're going to have two times two times two, so you would have 16 possibilities or two to the fourth power.
01:04
So there's 16 possible outcomes.
01:08
Not going to start a whole diagram, but you have tails on the first, heads tails in the second, head's tails on the third, has tails on the fourth, and you can branch out a huge tree and see if there's 16 possible outcomes.
01:20
Number four, what type of probability uses actual experiments to determine probability? so that's, you know, just known as experimental probability, as the word suggests.
01:29
We test our hypotheses by conducting experiments.
01:37
Just like we do in good old -fashioned signs.
01:42
Number five, if you toss a coin enough times, number of heads and tails, well, even out, they're both going to, you know, occur about the same amount of times.
01:50
So this is known as the law of large numbers.
01:54
So as you know, when you flip a coin a few number of times, it's possible to get all heads or, you know, the majority of heads, the majority of tails.
02:04
Oops, yeah.
02:07
But when you flip a coin a million times, you're going to see that it will end up being about 50 % heads and 50 % tail.
02:16
So the law of large numbers is what we call this.
02:20
A lot of large numbers.
02:24
If that doesn't occur, then we know there's something shady about the coin.
02:29
A lot of large numbers.
02:31
Number six, if the probability that will rain tomorrow is 0 .48, what is the probability it will not rain? well the probability that will not rain is going to be 0 .52 because it's the complement of the event it's the probability that it's not going to occur so 1 minus 0 .48 is 0 .52 because either it's going to rain or so it's not going to rain number 7 the sum of all probabilities and some of all the probabilities of the events in a sample space must equal 1 because the sample space describes everything that can happen and so something has to happen.
03:08
So if you add up all the probabilities of all the possibilities, we'll add up to one...