00:01
So the gift basket store has in stock the following combinations of gift baskets.
00:07
And we want to choose one basket at random.
00:12
Well, let's see how many baskets there are in total.
00:15
I have 32 with cookies.
00:17
I have 23 with mugs.
00:20
I have 22 with candy.
00:24
So the total then is gonna be 32 plus 23 plus 22, which is 77 that are in stock.
00:38
And if i look at the coffee baskets, that is 20 plus 13 plus 10, or 43.
00:46
And the tea baskets is 12 plus 10 plus 12, which is 34.
00:53
So if i choose use one basket at random, then the probability that it contains coffee or candy, well, that is going to be the coffee total plus the candy total minus the one that is counted double there, which is 10, the ones that contains both coffee and candy.
01:20
So this is 43 plus plus 22 minus 10, and the probability then is going to be the number of these baskets divided by the total number of baskets, which is 77.
01:41
So this then is, let's see, 43 plus 22 minus 10, 55 over 77, which is 5 seventh or 0 .714...