Help

[obtuse plank]

1. Wait patiently for a helper to come along.
2. Once someone helps you, say thank you and close the thread with:

+close

3. Feel free to nominate the person for helper of the week in #helper-nominations
4. Do not ping the mods, unless someone is breaking the rules.
5. If you're happy with the help you got here, and the server overall, you can contribute financially as well:

[crude jewel]

okay note that there can only be 0 to 2 heads, that should greatly simplify it

idk if there’s a better way from there or if you just lost everything

[cunning flicker]

ik that but do i have to list everyoutcome

or do i generalize

and i do not know how to generalize

like i know if the probabillity that k=0 would be 1/4 *1 since the probabllity of 0 could only be derived from getting 0 heads which is 1/4 times every possible dice roll prob which adds to 1

for k =1 it would be 0 since the smallest sum of dice is 2

but it says 0,1,2,3...

so how many more products do i do?

[crude jewel]

well find the maximum possible value and check everything below it

[cunning flicker]

How would I find the maximum?

Is it 24?

[crude jewel]

yea

[cunning flicker]

So I have to find 24 products?

[crude jewel]

note the number of dots is just sum of the dice numbers

so you can find odds of sum numbers

then multiply by coin

[cunning flicker]

Odds of sum numbers? Wym

[crude jewel]

the odds of the dice summing to something

[cunning flicker]

Bro I know that

Wait nvm

You mean like

Idk can you give me an example

So you mean like 1/4 times odds of sum over 36

Or like 1/2 times odds of sun

[crude jewel]

so once you’re done your probability table for like all the dice just combine it with the heads to find all your possible values

then do a ton of arithmetic

[cunning flicker]

Uhh what does that mean?

[crude jewel]

okay so the odds of rolling a 7 is 1/6 (1,6 2,5 … 6,1)
and then we can pair it with one head (1/2) to get a value of 7 with odds 1/12 and a value of 14 with odds 1/24 and so forth

[cunning flicker]

7 with odds 1/12?

How did you get 1/12

[crude jewel]

7 (dice) (1/6)
with
1 (head) (1/2)

[cunning flicker]

Ok how did you get 1/6

[crude jewel]

oh so there’s 6 ways to get a sum of 7

1,6 2,5 3,4 4,3 5,2 6,1

and 36 possible combinations of the two dice (6*6)

[cunning flicker]

Oh ok

Yea

[crude jewel]

and you can find the odds for sums 2-12

[cunning flicker]

You’re saying if I do that I think can get the odds for sums- 12-24 by multiplying denominator by 2?

[crude jewel]

well no

so my idea was

the dice can sum to 2 to 12 right

[cunning flicker]

Yea

[crude jewel]

and then the heads are either 1 or 2

[cunning flicker]

Yea

[crude jewel]

so you have 1*2 1*3 … as possible values and also 2*2 2*3…

and some values appear twice in that

and you can find the probability of each like

little case

[cunning flicker]

Ok I lost you there

12 13?

[crude jewel]

so we have 1 head

and the dice rolled sum to 2 or 3

the like product of both is 1*2 1*3

and it has a specific probability too

[cunning flicker]

The like product ?

[crude jewel]

well your question wants the odds the product of the number of heads and the number of dice dots

is a specific integer

[cunning flicker]

can you give me the one for k= 3 and k=4

[cunning flicker]

?