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CAHSEE Math 3.3 Statistics, Data, and Probability I 246 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?
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.
Full Transcript
- 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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