00:01
All right, in your question, you're told an ice chest contains five cans of apple juice, 10 cans of grape juice, and six cans of orange juice.
00:10
And four cans, i just saw that of pineapple juice.
00:15
Suppose that you reach into the container and randomly select three cans in succession without replacement.
00:22
So that means we have three events.
00:24
And to find the probability of all three events occurring, we multiply, those individual probabilities.
00:32
So the first can, we want to try to say, we're trying to figure out the probability of not getting any grape juice.
00:39
Okay, the first thing i want to do is total up how many cans we have.
00:42
And if you add those, there are 25 cans.
00:47
So how many are not grape juice? there would be 15 that are not grape juice out of 25.
00:54
Then we would multiply by, because we're not putting them back, we don't have 25 cans anymore.
01:01
We only have 24.
01:02
And for the last probability we'll only have 23.
01:06
And we want these cans that we pick not to be grape juice.
01:10
So there's not going to be 15 anymore because we have to assume we picked one.
01:14
They'll only be 14, and then there will only be 13.
01:20
Now, it doesn't say, we want to express our answer as a simplified fraction...