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

I'm confused what this is asking me?↓↓↓

OpenStudy (anonymous):

OpenStudy (anteater):

I think I see what they mean.

OpenStudy (anteater):

If you roll two dice and then multiply the numbers together, you will get some product. The table gives you the probability of getting a particular product.

OpenStudy (anteater):

For example, the probability of getting 27 is 0, because the only factors of 27 are 3 and 9, and you don't have a 9 on a regular die.

OpenStudy (anteater):

But some of the other numbers given can be created. For example, 24. It can be made by 6 and 4, and the probability of getting 24 is 1/18.

OpenStudy (anteater):

So, think about the numbers they gave as products.

OpenStudy (anteater):

Can you even get a product that has a fractional part?

OpenStudy (anteater):

Since the numbers on the dice are whole numbers, when you multiply them together you would expect to get a whole number product.

OpenStudy (anonymous):

so 12?

OpenStudy (anonymous):

with the options it gives

OpenStudy (anteater):

That's what I think it must be, since you wouldn't expect a fractional value.

OpenStudy (anteater):

Since those would be impossible.

OpenStudy (anonymous):

thank you that makes sense :)

OpenStudy (anteater):

Well, that is my logic anyhow. :)

OpenStudy (anteater):

I am not 100% sure I am correct, but it is the only answer that made sense to me. :)

OpenStudy (anteater):

On the other hand

OpenStudy (anteater):

I just found this: formula for expected value

OpenStudy (anteater):

If we use that formula, you would multiply each possible value by the number of times it appears in the table

OpenStudy (anteater):

So if we do that: 0(0) + 2(1/18) + 3(1/18) + 4(1/12) + 5(1/18) + 6(1/9) + 7(0) + 8(1/18) + 9(1/36) + 10(1/18) + 11(0) + 12(1/9) + 13(0) + 14(0) + 15(1/18) + 16(1/36) + 17(0) + 18(1/18) + 19(0) + 20(1/18) + 21(0) + 22(0) + 23(0) + 24(1/18) + 25(1/36) + 26(0) + 27(0) + 28(0) + 29(0) + 30(1/18) + 31(0) + 32(0) + 33(0) + 34(0) + 35(0) + 36(1/36)

OpenStudy (anteater):

Then see what that gives us

OpenStudy (anteater):

2/18 + 3/18 + 4/12 + 5/18 + 6/9 + 8/18 + 9/36 + 10/18 + 12/9 + 15/18 + 16/36 + 18/18 + 20/18 + 24/18 + 25/36 + 30/18 + 36/36

OpenStudy (anonymous):

12.22?

OpenStudy (anteater):

You are faster than I am :) I am still checking.

OpenStudy (anonymous):

i just plugged what you wrote into google

OpenStudy (anteater):

That's what I got as well, but it isn't one of the answers.

OpenStudy (anteater):

However I followed the formula given

OpenStudy (anteater):

And I think the answer must be 12.

OpenStudy (anonymous):

hmmm i'll try 12.25 and see what it says

OpenStudy (anteater):

Ok :)

OpenStudy (anteater):

I left off 1/36, I just realized

OpenStudy (anteater):

And that could bump it up to 12.25

OpenStudy (anteater):

Yes, it does :D

OpenStudy (anonymous):

it does

OpenStudy (anonymous):

thank you!

OpenStudy (anteater):

You are welcome! I was learning as well.

OpenStudy (anteater):

And apparently my "whole number" approach was in error, so I am glad I checked!

OpenStudy (anteater):

So, did it accept 12.25 as the correct answer?

OpenStudy (anonymous):

i still have to answer one more question one sec

OpenStudy (anteater):

Oh, ok.

OpenStudy (anonymous):

Yep it did thanks!

OpenStudy (anteater):

Good :D

OpenStudy (anteater):

Hope you have a good night!

OpenStudy (anonymous):

you too!

OpenStudy (anteater):

Thanks!

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!