Ask your own question, for FREE!
Mathematics 9 Online
OpenStudy (anonymous):

Help!!! http://prntscr.com/1c96an

OpenStudy (anonymous):

@whpalmer4

OpenStudy (whpalmer4):

So if you roll two 6-sided dice, how many different rolls are there? 6*6 = 36, right? How many of those rolls have the same number? The probability will be the latter number divided by the former. 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 ... 6 5 6 6

OpenStudy (anonymous):

it is confusing:/

OpenStudy (anonymous):

dice #1 1 2 3 4 5 6 ---|-------------------------------- 1 | 1,1 1,2 1,3 1,4 1,5 1,6 d 2 | 2,1 2,2 2,3 2,4 2,5 2,6 i 3 | 3,1 3,2 3,3 3,4 3,5 3,6 c 4 | 4,1 4,2 4,3 4,4 4,5 4,6 e 5 | 5,1 5,2 5,3 5,4 5,5 5,6 6 | 6,1 6,2 6,3 6,4 6,5 6,6 # 2 Count the # of rolls in the 6 x 6 table. Count the # of rolls where the 2 dice have the same number. Hint: look at the diagonal. P = (# of same-numbered rolls) / (total # of rolls)

OpenStudy (anonymous):

is not ther any quick method as i have to do this in less than a min

OpenStudy (anonymous):

All good now, @Farheen28 ?

OpenStudy (anonymous):

This "long" method should take you about 10 seconds.

OpenStudy (anonymous):

If you have 6 rows where each row has 6 columns, how many elements are there?

OpenStudy (whpalmer4):

a different, equally quick way to think about this: whatever you roll on the first die, that's your number. now the question is what is the probability of rolling that same number on the other die? This is exactly equivalent to saying "what is the probability of rolling a 3 when rolling 1 die".

OpenStudy (anonymous):

@tcarroll010 i will have 36 elements right? @whpalmer4 the probablity of 3 will be 1/6 right?

OpenStudy (anonymous):

Yes, you will have 36 elements because that is 6 x 6. Now, out of that pool of 36 rolls, how many have the same number on each die? Hint: look at the diagonal. P = (# of same-numbered rolls) / (total # rolls)

OpenStudy (anonymous):

6/36 which is 1/6 but your answer will require me to make that big table! :@ it will take time!

OpenStudy (anonymous):

You don't have to make a table. That table was created just so you could see that there are 36 total rolls. You could just say 6 x 6 = 36 is the total number of rolls. And there are only 6 identical pairs. That's all you have to do and then do the fraction.

OpenStudy (anonymous):

but without the table i can't figure out that there are 6 identical pairs :/

OpenStudy (anonymous):

oh know wait i actually can :P

OpenStudy (anonymous):

You know there are only 6 identical pairs because there are only 6 different numbers.

OpenStudy (anonymous):

You can get to: 1,1 2,2 3,3 4,4 5,5 6,6 from: 1 2 3 4 5 6

OpenStudy (anonymous):

I think you're making this much harder than you have to.

OpenStudy (anonymous):

yeah i thought the probablity of a number on 1st die is 1/6 and on the second also it is going to be 1/6 so may be we will add it or multiply it to get the answer ! but that is wrong right?

OpenStudy (anonymous):

Yes, that is wrong. The most fundamental and actually simplest way to look at the problem is comparing the # of same-numbered rolls to the total # of rolls. That's all you have to do.

OpenStudy (anonymous):

Thanks Bazinga Man! i got it now :D

OpenStudy (anonymous):

Shelson rocks! And Sheldon and I say you are welcome! @Farheen28

OpenStudy (anonymous):

hahhah :)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!