Help jane has stored three albums on her ipod the first...

Jane has stored three albums on her iPod. The first album consists of 11 songs by Frank Sinatra, the second album consists of 13 songs by Cliff Richard, including "Congratulations and Celebrations", and the third album consists of 8 songs by John Denver. She programs the shuffle function on her iPod to randomly select 10 songs from the three albums, not repeating any of the songs. a.) Find the probability that in one run of the shuffle she will not listen to a single song by Cliff Richard. b.) Find the probability that in one run of the shuffle she will definitely listen to "Congratulations and Celebrations". c.) Find the probability that in one run of the shuffle she will definitely listen to "Congratulations and Celebrations", but no other Cliff Richard song.

Transcript

00:01 Have some songs stored on our ipod and exactly how many songs do we have.

00:06 We have 19, 232 songs stored on an ipad and we want to shuffle in groups of 10 and find some probabilities.

00:14 So let's first of all find out how many groups of 10 we can get out of these 32.

00:19 So we're going to take a combination of 32 picking 10 at a time.

00:23 And i'm going to go to my calculator and get that value for us.

00:26 Let me quit and go 32 and go get my probability.

00:30 For and get 10.

00:33 So that's going to equal a very large number, 645 -1 -2 -2 -4 -0.

00:40 Now the first thing i'm going to do is find the probability that in one run she will not listen to a single song by cliff richards.

00:49 So that means we need to eliminate the cliff richards.

00:51 That means we're going to pick our 10 songs from the other 19.

00:55 So we're going to take a combination of the 19, picking 10 in a time.

01:00 So let's go and get that number on our calculator, and that's going to be 9, 27, 38.

01:09 So our probability, we're going to put it over this number here, 645 -1 -2 -2 -4 -0.

01:16 That will simplify, but we'll get to that later.

01:19 Find the probability that you will definitely listen to congratulations and celebrations.

01:25 Now, who is that by? that's by cliff richards, so that we're going to definitely do that.

01:31 And that's what we're looking at.

01:33 So we need know that we, how many possibilities then do we have? so we know we're going to pick one.

01:39 We have our 10 songs.

01:41 So there's only one way to pick that first song.

01:43 So now we're going to take the other nine, and we're going to have 31 picking nine...

Question

Please give Ace some feedback