00:01
Okay, so this question is a probability question, and it asks about a lottery has four digits to a winning number.
00:12
And the digits all range from zero to nine, and they are all replaceable.
00:18
So once the first ball is drawn, if it's like a one, the second one can also be a one.
00:23
It isn't completely removed each time.
00:26
The first question we're asked is, what is the probability that if you buy a ticket, it's going to be the winning.
00:31
Ticket.
00:33
So that means there's only one number choice for all of these, and they can range from zero to nine, which is ten possibilities.
00:46
So that means that your chances of getting it are one in ten times one in ten times one in ten.
00:56
That's basically just saying you have to get the correct number for each of the four numbers out of a total of ten possible numbers.
01:05
If we compute that, that is 1 over 10 ,000, which is 0 .001, which if we convert that to a percentage, that is going to be 0 .01%.
01:26
So you have a 0 .01 % chance of getting the winning ticket just by pure chance.
01:37
The second question that were asked, i was kind of unsure if this was a second question or not, but i figured it probably was, so i'm going to answer it anyway.
01:46
The second question here is what are the chances of getting two consecutive digits in exact order, either the first two, the middle two or the last two.
01:57
So if we think about that, i think first we should just start about thinking about how many ways you can get consecutive digits.
02:07
So let's just list those out...