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?
|CAHSEE Math||Statistics, Data, and Probability I|
|Statistics||Charts, Graphs, and Tables|
|Statistics, Data Analysis, and Probability 6||Data sets|
Which of the following tree diagrams represents all of a customer's
possible choices for ordering a complete meal?
Here are the potential answers:
OK lottttts of real estate to cover here.
More than anything, this is a logic problem.
Let's suppose we've decided on a grilled chicken sandwich and a side of fries.
Now your only decision to make is what to drink. Sadly, Red Bull isn't an option.
You can choose from four drink options.
Okay, so there are 4 combos right there.
But say you have a potato allergy and want the side of onion rings instead.
You have the same 4 drink options, so that's 4 more combos.
And finally, if you're looking to cut calories, you could have gone with the mini-salad...
4 more combos. So basically, if you take your chicken grilled,
there are 12 combinations. If, on the other hand, you prefer a little
crunch with your cluck... ...you'll go through all the same steps
and come up with 12 more combinations... ...or 24 total.
So we need a tree that will represent all 24 of those combinations.
The correct tree should start off with two branches: one representing grilled chicken
and the other representing crispy chicken.
From each of these branches, there should
be three more for each of the sides, and then four more from each of THOSE for the drinks.
The only tree here that matches this description is the tree in (C).
Although, the question is a bit deceiving, as we all know chickens don't grow on trees.