00:01
Hello, so this is what we're dealing with.
00:02
We're dealing with a fair dime that is rolled three times.
00:08
So now the first part of the question is the probability that you roll all ones.
00:18
So roll or rolling if you like all once.
00:30
So let's do this.
00:33
Let's put the probability of rolling a one.
00:43
So probability of rolling, right? so if you're only one dime, that's just one out of six.
00:57
So if you roll it three times and you want a probability of rolling all, oops, all ones, this is one over six times one over six, that's going to be one over two and six.
01:24
So that's the first part.
01:29
Second part is the probability that you roll all even numbers.
01:38
So rolling even numbers.
01:41
So let's look at rolling even numbers in one roll.
02:06
So the even numbers we got is going to be what? just 2, 4, 6.
02:16
Which is going to be 3 over 6, which is 1 over 2.
02:22
And so the probability of rolling all even numbers in the 3 rolls, that's going to be times half.
02:43
That's one word.
02:52
Let's look at the c part, which is looking for the probability that none of the rules get a number divisible by two.
03:08
So this are basically all numbers, right? so the numbers that are not divisible by two.
03:23
So let's have not divisible by two.
03:41
What are those numbers? so 1, 3, and 5.
03:52
That is just, let's see, that's just 3 over 6.
04:07
So that probability of not visible, divisible by 2, it's going to be again half times half for the three rows.
04:29
That's going to be 1 over 8 again.
04:39
Then the d, probability that you row, let's see, you roll at least 1 4, let's see...