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CAHSEE Math 3.3 Statistics, Data, and Probability I 231 Views


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Description:

Statistics, Data, and Probability I: Drill Set 3, Problem 3. Which of the following tree diagrams represents all of a customer's possible choices for ordering a complete meal?

Language:
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Transcript

00:03

Okay, let's get down to the shmoopy question...

00:06

To make a combo meal at a fast-food , restaurant, a person can order

00:10

two different kinds of chicken , sandwiches: grilled or crispy.

00:14

She can also order three kinds of sides: fries, onion rings or a mini-salad.

00:20

Finally, for drinks, she has a choice of cola, orange-flavored soda, lemonade, or root beer.

00:26

Which of the following tree diagrams represents all of a customer's

00:30

possible choices for ordering a complete meal?

00:33

Here are the potential answers:

00:42

OK lottttts of real estate to cover here.

00:44

More than anything, this is a logic problem.

00:47

Let's suppose we've decided on a grilled chicken sandwich and a side of fries.

00:51

Now your only decision to make is what to drink. Sadly, Red Bull isn't an option.

00:57

You can choose from four drink options.

01:00

Okay, so there are 4 combos right there.

01:03

But say you have a potato allergy and want the side of onion rings instead.

01:07

You have the same 4 drink options, so that's 4 more combos.

01:11

And finally, if you're looking to cut calories, you could have gone with the mini-salad...

01:16

4 more combos. So basically, if you take your chicken grilled,

01:20

there are 12 combinations. If, on the other hand, you prefer a little

01:23

crunch with your cluck... ...you'll go through all the same steps

01:26

and come up with 12 more combinations... ...or 24 total.

01:30

So we need a tree that will represent all 24 of those combinations.

01:34

The correct tree should start off with two branches: one representing grilled chicken

01:40

and the other representing crispy chicken.

01:43

From each of these branches, there should

01:45

be three more for each of the sides, and then four more from each of THOSE for the drinks.

01:51

The only tree here that matches this description is the tree in (C).

01:55

Although, the question is a bit deceiving, as we all know chickens don't grow on trees.

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