Question

What is the probability of rolling a 6-sided die two times and getting a 3 and then a 2?

Answer 1

The two events are independent of each other.
That means that the outcome of the first roll does not influence the outcome of the second roll.
That being the case, the probability of rolling a 3 followed by a 2 is the product of the two individual probabilities.
p(3 then 2) = p(3) * p(2)

Answer 2

What is the probability if rolling a 3?
What is the probability of rolling a 2?

Answer 3

A. 1/3
B. 1/36
C. 1/6
D. 1/18

Answer 4

I see the choices.
Can you answer my questions above?

Answer 5

A die has 6 possible outcomes. All 6 outcomes are equally likely.
What is the probability of rolling one specific outcome out of the 6?

Answer 6

i wouldnt know sir/mam, that why im asking you guys for the answer

Answer 7

The idea with OS is to get help, I agree, but it is also to make you understand the material and not to just be told answers.
We need to think this together and figure it out.

Answer 8

i see

Answer 9

so 1/6

Answer 10

would be it

Answer 11

Let me give an example with a simpler case.
You have a coin. The coin can fall with the heads side up or with the tails side up.
There are only two possible outcomes with the flipping of a coin.
If I flip the coin, what is the probability it will be a heads?

Answer 12

1/2 for the coin

Answer 13

In this case, the probability would be 1/2.
You are correct. In your case it is 1/6.

Answer 14

thanks kind person

Answer 15

Right.
For the die, any one specific outcome is 1/6.

Answer 16

This is not the final answer.

Answer 17

really

Answer 18

so 1/3 :)

Answer 19

No. Read below.

Now go back to where I wrote this:

p(3 then 2) = p(3) * p(2)

p(3) = 1/6
p(2) = 1/6

The probability of rolling a 3 followed by a 2 is the probability of rolling a 3 ___multiplied___ by the probability of rolling a 2.

p(3 then 2) = p(3) * p(2) = 1/6 * 1/6

Answer 20

Don't add the individual probabilities.
Multiply them instead.

Answer 21

ohhhhhh its 1/36

Answer 22

You got it.
Remember for future problems. If each event is independent of each other, then the individual probabilities multiply.

Answer 23

sweet

Answer 24

Another way of thinking of this is to find all the possible outcomes of rolling a die twice and then seeing how many are the desired outcome compared to the total number of possible outcomes.

Answer 25

hmmm ok

Answer 26

If you roll a die twice these are all the possible outcomes:
11, 12, 13, 14, 15, 16
21, 22, 23, 24, 25, 26
31, 32, 33, 34 ,35, 36
41, 42, 43, 44, 45, 46
51, 52, 53, 54, 55, 56
61, 62, 63, 64, 65, 66

As you can see, there are 36 possible different outcomes.
You are interested in only one outcome, 32.

1 desired outcome out of 36 possible outcomes means a probability of 1/36

Answer 27

haha ok thats awesome. you are very helpful

Answer 28

You're welcome.
Thanks.