Question

Mario likes to eat at a local restaurant but he has difficulty choosing his meal as he likes 6 main courses equally and there are two desserts he loves. He decides to roll a die to choose his main course and flip a coin to decide his dessert. He assigns the meal this way; chicken parmigiana as 1, chilli prawns as 2, spaghetti Bolognese as 3, grilled barramundi as 4, pepper steak as 5 and spicy calamari as 6. He assigns his desserts this way: sticky date pudding as H and tiramisu as T. Find the probability that he chooses:
a) Chicken parmigiana and tiramisu

Answer 1

What is the probability for each individually?

Answer 2

1/12? I am not sure

Answer 3

For the final answer of the question I asked?

Answer 4

for the chicken parmigiana is it 2/12 and the tiramisu 6/12?

Answer 5

not quite, Simplify those. Where did you get 12 from?

Answer 6

I thought that 12 comes from the number of possibilities

Answer 7

How many options do you have for food?

Answer 8

6 and 2 for desserts

Answer 9

So what chance do you have of getting chicken parm alone?

Answer 10

1/12

Answer 11

why 12?

Answer 12

I meant 6 sorry

Answer 13

write it again? :)

Answer 14

1/6

Answer 15

good. Now, What about just the dessert?

Answer 16

1/2

Answer 17

Correct, now are these events separate?

Answer 18

yes

Answer 19

So when we have separate events, what do we do to their probabilities?

Answer 20

add then together?

Answer 21

them*

Answer 22

No, not quite.

Answer 23

I can't think of a good example where you use addition, but no it's not addition.

Answer 24

I'm not sure what you would use

Answer 25

Well, what is the other thing that we use?

Answer 26

multiplication?

Answer 27

Yeppers

Answer 28

so do I multiply 1/2 and 1/6 together

Answer 29

yes

Answer 30

That would be correct

Answer 31

so is the answer 1/6?

Answer 32

What is the product of \(\frac{1}{2} ~and~\frac{1}{6}\)

Answer 33

2/12

Answer 34

Where did you get the 2 from?

Answer 35

1/12

Answer 36

First show me your work before I tell you if it's right. (Explain the multiplication)