Question

Probability!
How many possible outcomes are in the sample space for the event "first roll a die, and then shoot a basket"? I don't quite understand this question.

Options:
a)16
b)12
c)2
d)6

Answer 1

I need to know how to get to the answer, thanks :)

Answer 2

OK, great! So, this it the type of problem that is possible to sketch out what a tree diagram, are you familiar with those?

Answer 3

Honestly no, not really.

Answer 4

I have probably done a few before though.

Answer 5

Ok, well it's just one method for listing out the entire sample space, all of the possible outcomes. By the way, I assume that to ''shoot a basket'' means with a basketball, and you either make it or not, right ?

Answer 6

Yup, ohh so that would be 1/2 or .50 = 50%.
That means that if there are 6 sides to a die, then, correct me if I'm wrong, but it can be multiplied with 1/6?

Answer 7

Well, no, I'm just asking what the possible outcomes are, like you said, there are 6 sides to a die. So, the possible outcomes are: 1,2,3,4,5,6.
The after that, we add on with the outcomes of the second event, the outcomes of shooting a basket.

Answer 8

How would I find that exactly?

Answer 9

can you see now how many total elements there will be in the sample space ?

Answer 10

12

Answer 11

That's exactly right, excellent job!

Answer 12

Question: How does the event relate to the die?

Answer 13

How does the event relate to the die? is that the exact question?

Answer 14

Hmm let me rephrase it actually.

Answer 15

How does 2 per 1 roll on the die relate? I don't know if that makes sense...

Answer 16

Hmm, no, I don't get that at all. Does it make sense to you? :/

Answer 17

Hahaha, yes it does, don't need to answer it. Thanks a lot for the help! :)

Answer 18

ok, you bet!
:)

Answer 19

The events are independent , that's why we could multiply the outcomes

Answer 20

I see, thanks . :D