Five probability events are listed below label each event as...

'Five probability events are listed below_ Label each event as either Independent Dependent You roll a fair six-sided number cube and flip a coin. What is the probability that you will roll a 6 and land on tails? Independent Dependent You draw a marble out ofa bag of yellow and red marbles, replace it and draw again: What is the probability you will get two yellow marbles? Independent Dependent You draw three marbles out of a bag with red and blue marbles in it, without replacing them_ What is the probability they will all three be red? Independent Dependent You have a deck of 20 cards numbered 1-20. You draw a card from a deck and keep it: The next person draws another card. What is the probability You will both draw an even card? Independent Dependent You ask $ people what month their birthday is in. What is the probability that they will all be in the summer? Independent Dependent'

Transcript

00:01 Whether or not something is independent or dependent in probabilities is really kind of a fun look into probabilities.

00:10 And i, for this, will be drawing pictures where i can because i think visual is very helpful.

00:15 So if we have a cube, a number cube, really any dye that you've played with a game, you have your multiple sides.

00:26 All right, here it is.

00:28 We could roll that.

00:29 You get numbers one, two, three, four, five, or six.

00:32 And then next to it, you have your coin.

00:35 Right? with the little persons, here you get a little head on it.

00:39 And just drawing the picture, we can see that these two things won't really affect each other.

00:45 What the dye does is not going to affect what the coin does.

00:49 And when one thing does not affect another in probability, we call this independent.

00:59 So a cube and a coin will not affect the outcome of one.

01:03 Another so we will call that independent okay now going on to the next thing when it comes to something pulling out of a group right so we have this bag of marbles all right so you have a bunch of marbles in it well if i take one of these marbles out right if i take in this case we're looking at taking out two yellow marbles all right if i take this marble out okay but then i put it back in.

01:43 All right.

01:45 So we took it out.

01:46 It's here.

01:48 All right.

01:48 So briefly, there was one less marble.

01:50 But now i'm going to take that marble and i'm going to put it back into the bag.

01:58 So here's that yellow marble again.

02:00 And i still have all the same number of other marbles.

02:03 All right.

02:04 Then the chance of pulling out that yellow marble again, it doesn't change.

02:09 Right? there's the same number of marbles.

02:11 In the bag.

02:13 So this brings us to this idea of replacement, right, with replacement or without replacement.

02:21 And so in this case, we have with replacement, with replacement will indicate that it is independent.

02:36 But then if we have some red marbles in the bag, right, so we have some red, some red, some red, some red.

02:44 We have these different colored marbles...

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