Question

help please

Answer 1

For the cube.
The number of outcomes you want is?
The number of total possible outcomes is?

Answer 2

I want to roll a 2. The number of possible outcomes is 6.

Answer 3

You want to roll a 2 and nothing else.
There in only 1 outcome you are interested in.
The outcome happens to be the 2, but it is still only 1 outcome.
The probability of rolling a 2 is the number of ways you can roll a 2 (1 way) over the total number of possible outcomes (6 ways).

Answer 4

What is p(rolling 2) = ?

Answer 5

2/6? i'm confused

Answer 6

I'll explain again.
Let me ask you this question.
You have a regular cube with 6 faces, like a die.
The faces don't have numbers. They have letters.
The letters on the faces are A, B, C, D, E, F, one letter on each face.
You roll the cube once.
What is the probability you will get a B?

Answer 7

1/6

Answer 8

Correct.
Since only one face shows a B, and there are 6 faces, all different, the probability of getting a B is 1/6.

Answer 9

and then the coin would be 1/2

Answer 10

Now back to your problem.
Your the cube has again 6 faces, but they are numbered 1 through 6.
Naturally, one face has the number 2 on it, but it's the only face with the number 2 since the other faces have the numbers 1, 3, 4, 5, 6.
What is the probability you will roll a 2?

Answer 11

I'm genuinely not sure on that.

Answer 12

@mathstudent55

Answer 13

Why not? It is the same as the cube with letters.
With the letters, only one face had a B, out of 6 different faces, so the probability of rolling a B is 1/6. You understood that well.
Here, only one face has a 2 out of 6 different numbered faces, so the probability of rolling a 2 is the same 1/6.

Answer 14

In a fair die, the probabilities of drawing a 1, 2, 3, 4, 5, or 6 are all equal and are all 1/6.

Answer 15

1/6 then? I don't know why the numbers are confusing me so much.

Answer 16

it's odd. the letters make sense but when you replace them with numbers i'm lost

Answer 17

Don't confuse what the faces reads with the number of outcomes.

Answer 18

Ok, then think of a cube with the numbers 1000, 2000, 3000, 4000, 5000, 6000 on its faces
What is the probability of rolling a 2000?
(Please don't say it's 2000/6).

Answer 19

2000/6000

Answer 20

no wait.

Answer 21

that's not right.

Answer 22

Since 2000 is only one outcome out of 6 equally likely outcomes, then the probability is 1/6, just like with all other fair dice, where each face has a 1/6 probability of ending face up.

Answer 23

i'm sorry I'm just dumbfounded on this subject

Answer 24

In this case, 2000 is just ONE outcome.
There are 6 possible outcomes.
The probability of rolling a 2000 is 1/6.
There is a one out of 6 probability you will roll a 2000.

Answer 25

so it's 1/6 then

Answer 26

Yes.
BTW, you are correct that flipping the coin and getting tails is a 1/2 probability.
To find the overall probability of rolling a 2 and flipping tails, you multiply 1/6 and 1/2 together.

Answer 27

That would be 1/12

Answer 28

Correct.

Answer 29

Thank you so much.

Answer 30

You're welcome.