Two fair die are rolled. (1) What is the probability they sum to 10, 7, or 4? (2) What is the probability they sum to at least 11?

- Pulsified333

- katieb

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- anonymous

So for two dices, there are 6*6 = 36 possible combinations right?

- Pulsified333

yes

- anonymous

how many combinations add up to 4?

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## More answers

- Pulsified333

2

- anonymous

1,3
3,1
2,2
there are 3

- Pulsified333

okay

- anonymous

so for 4, it is 3/36 = 1/12

- Pulsified333

correct

- anonymous

so you can do the same for 7 and 10 to for (1).

- Pulsified333

are you saying that there are 6 ways to add up to 6?

- anonymous

yes, so its probability is 1/6

- Pulsified333

btw how did you get 1/12 for 4?

- anonymous

sorry sorry no there's 5 ways to add up to 6

- anonymous

1,5
2,4
3,3
4,2
5,1

- Pulsified333

The number is seven my bad

- anonymous

Oh yes

- Pulsified333

can you explain how you got 3/36 though for 4?

- anonymous

3 combinations to get 4 / all the possible combinations = 3/36.

- Pulsified333

how is it 36 though

- anonymous

there are 6 possibilities on the first dice & 6 possibilities on the second dice.
6 * 6 = 36

- Pulsified333

oh never mind. sorry I didn't think about that, I've had a really long day. You are right

- anonymous

oh ok! :D

- Pulsified333

so in total it should be 6/36+3/36+3/36=12/36=1/3

- anonymous

and for (2), you just have to find the probability that the sum is 12
and subtract it from 1

- anonymous

and yes

- Pulsified333

why subtract one for the sum is 12?

- anonymous

at least 11 is the same as not 12, becuase the biggest sum is 12

- Pulsified333

right. So that means 11 and 12?

- anonymous

so, "at least 11" refers to sums 2-11. so the only sum that is not considered is 12.

- Pulsified333

oh

- anonymous

do you get that?

- anonymous

so what you have to do is
1 - (probability of getting 12) = probability of all sums at least 11

- Pulsified333

so is that mean the answer is 35/36?

- anonymous

yes :D

- Pulsified333

it says 35/36 is wrong but the first answer is right

- anonymous

really? :,o let me think I'm sorry...

- Pulsified333

its okay

- anonymous

AHHH I READ THE PROBLEM WRONG...
YOU WERE RIGHT IT IS PROBABILITY OF 11 AND 12

- Pulsified333

so its 1/12

- anonymous

I CAN'T BE MORE SORRY THAN THIS SORRY

- anonymous

YES

- Pulsified333

dude its alright

- Pulsified333

That was right

- Pulsified333

:D thank you very much

- anonymous

thank you :)

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