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Mathematics 15 Online
iosangel:

mathhhh

iosangel:

iosangel:

@Hero

iosangel:

Oh, heres the full question.

Hero:

Okay, so for the 1st Box, how many possible "Simple Toppings" can be chosen if a customer is allowed to choose 1 topping?

iosangel:

1?

Hero:

How many total toppings are there?

iosangel:

Where does it say how many total topping there are?

iosangel:

Oh ohoh

Hero:

That's me asking you. Do yo know how many toppings there are?

iosangel:

Yes, theres 14

Hero:

So that goes in the first box under possible options

Hero:

To the immediate right of that you have to determine the probability that Mario and Luigi will correctly guess the customer's chosen ingredient. To do this you figure out this fraction: \(\text{P(Mario & Luigi guess correct ingredient)} = \dfrac{\text{customer's chosen ingredient}}{\text{total number of possible ingredients}}\)

iosangel:

so 2/14 simplified 1/7?

iosangel:

And that goes in the first box under probability mario and luigi can guess the correct ingredient?

iosangel:

is it that right? @Hero

Hero:

Why did you put 2/14? What does the 2 represent?

iosangel:

Mario and luigis chosen ingredients

Hero:

Yeah but, Mario & Luigi are guessing just once. We should consider them as one person since it is one business and one person will be taking the customer order. Sorry for the confusion.

iosangel:

Oh, it would be 1/14 then.

Hero:

Bingo

iosangel:

so the next box would be 3/14 under probability mario and luigi can guess the correct ingredient?

iosangel:

is this correct?

Hero:

Well, actually, some of is right and some of it is wrong.

iosangel:

Which ones?

Hero:

The last two are incorrect.

iosangel:

is this better?

Hero:

Still incorrect.

iosangel:

this? lol

Hero:

You're definitely guessing but you don't know the rule to apply for the last two.

iosangel:

yah

iosangel:

Do you add the 2 then simplify?

iosangel:

@Hero you there?

Hero:

The rule to apply for the last two is the multiplication principle.

iosangel:

How would i do that?

Hero:

So basically in this case ....

iosangel:

.....

iosangel:

Yes?

iosangel:

@Hero

Hero:

Sorry computer issues.

Hero:

So for the last two you want to apply the multiplication principle: \(\dfrac{\text{meat toppings customer can select}}{\text{total number of meat toppings}} \times \dfrac{\text{vegatable toppings customer can select}}{\text{total number of vegetable toppings}}\)

iosangel:

2/4*2/4=1/4?

Hero:

Did you count the total number of meat toppings and the total number of vegetable toppings?

iosangel:

Yes.....

Hero:

And now many of each are there?

iosangel:

Oh, you mean like all the meat toppings on the menu?

Hero:

Yes

iosangel:

Oh, theres 6

iosangel:

Oh it would be2/6 not 2/4.. right?

Hero:

For the meats yes

iosangel:

and 2/8 for the vegatable toppings customer can select/ total number of vegetable toppings

iosangel:

so 2/6*2/8=1/12

Hero:

That looks right

iosangel:

And for the last box its 4/6*4/8=1/3?

Hero:

Looks great

iosangel:

Would all the possible options be 14?

Hero:

Yes, but for the last two put 6 meats, 8 veggie/fruit

iosangel:

Put 6 and 8 in one box?

Hero:

Put "6 meats", "8 veggie/fruits" only for the last two. The rest put 14 possible toppings

Hero:

Upload your answer responses here.

iosangel:

Okay

iosangel:

iosangel:

Like that?

Hero:

Looks good to me although you should include your intermediary steps for calculating 1/12 and 1/3

iosangel:

Yea I'll do that in another time.

iosangel:

Noww, how would i do 1?

Hero:

I don't understand what you're asking here. Can you re-phrase/clarify.

iosangel:

Number one. Which pizza gives mario and luigi the best probability of guessing the right ingredients.

Hero:

Oh, I see. Basically what you want to do here is figure out which fraction is closest to 1.

iosangel:

so the best would be 12/14 and the worse would be 1/14

Hero:

Looks good to me.

iosangel:

What about number 2?

Hero:

Number two is an addition question. Add The probability of both together.

iosangel:

so 5/12?

Hero:

Can you show your work please?

iosangel:

sure, 1/12+1/3=5/12

Hero:

MEAT BEAST + Balanced Beast probabilities

iosangel:

Ohhhhh, 13/21

Hero:

Looks closer to right.

iosangel:

so its not right ? lol

Hero:

It probably is.

iosangel:

Oh oky.

iosangel:

And for number 3 I'd say Yes and yes.... right?

Hero:

Only the 1st question for #3 is a "yes or no" question, but you must follow it up with your reasoning behind saying either yes or no.

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