00:01
Okay, so we're given these coins here, and that means that we have a total of 52 coins, and that we're pulling three coins without replacement.
00:20
Okay, and we're supposed to make a tree diagram here, okay, so without replacement there.
00:29
All right, so we're supposed to make a tree diagram and put the probabilities on the branches there.
00:33
Okay, so i do my best here to show each branch one at a time here.
00:41
I'm going to focus on the first branch assuming that we pick out a nickel.
00:45
Okay.
00:46
And so by doing so here, first is going to be so it's 12 out of 52.
00:52
Okay, so from there, the branch is going to split into three.
00:55
So we have one, two, three here.
00:58
All right.
00:59
So then, and let's say from there, so after picking a nickel could be either a nickel dime or a quarter.
01:06
Okay, so we're going to have that next.
01:08
So nickel, dime, quarter here.
01:11
Okay.
01:12
Then we've got probabilities for each.
01:13
Since we already picked one nickel here, there's going to be one less.
01:17
That's 11 over, and there's now one less coin here.
01:20
It's over 51.
01:21
So all of these denominators are going to be over 51 here.
01:26
And then we haven't picked any dimes yet, so it's going to be 26 here.
01:30
Then no quarters yet, so it's going to be 14 here.
01:33
Make this a little clearer.
01:40
Okay.
01:41
All right.
01:41
So now from here, then we branch off.
01:43
Again three times for each.
01:46
So here, nichols times quarters again, so it's n, d, q, and we're going to have three again for each of these.
02:06
All right.
02:08
So for the first one, now first set of three.
02:12
So we've got n already there.
02:15
So again, another time here, so it's going to be 10 over 50 or one -fifth.
02:21
Okay.
02:22
Next one, it's going to be over 50 again, again no replacement so they were subtracting one in the overall dimes so i haven't picked a dime here in this first set of three here that we had there so it's going to be 26 over 50 see if i can make that neater here so i'm going to write out this right here it's 26 over 50 quarters haven't picked any yet so it's 14 out of 50 there the nickels here so again in this one here when it goes nickels dime the nickel we only picked the nickel once prior in the first set there the first branch so it's going to be 11 over 50 this time for the dimes here it's going to be right we've had a dime here already in the first uh in the middle here so it's the nickel's dimes so it's going to be 25 over 50 or one half then for quarters haven't picked the quarter yet so it's going to be right 14 out of 50 this one okay so so again, nickel here, so it's still going to be 11 out of 50 there.
03:39
All right.
03:40
But then here at the dimes, we haven't selected a yes, as we've had nickel's quarters thin dimes.
03:45
So that's going to be 26 over 50.
03:53
Okay, for the quarter, since we had one quarter already in that second choice there.
03:58
So that's going to be 13 out of 50.
04:01
Okay, and that's just the first bridge...