Question

You roll 2 dice. What is the probability that the sum of the dice is less than 7 and at least 1 die shows a 3? (A 6 6 table of dice outcomes will help you to answer this question.)

Answer 1

this is a hard one

Answer 2

no

Answer 3

for me it is.

Answer 4

tell me how to do it.

Answer 5

dont just give me the answers...

Answer 6

its 1/12

Answer 7

the probability you role a 3 is 1/6th

Answer 8

now that you have 3 in order for the sum to be less then 7, the second dice must role less then 4

Answer 9

the probability you role a dice with less then 4 is 1/2

Answer 10

there mutually independent events, so the overall probability is 1/12

Answer 11

thats not an answer choice...

Answer 12

what are the answer choices

Answer 13

7/12
1/3
5/36
7/36

Answer 14

order counts?

Answer 15

does the 3 have to appear in the first role?

Answer 16

i believe so

Answer 17

the probability is 5/36

Answer 18

ye im to lazy to figure this out good luck

Answer 19

proof pls

Answer 20

5/36 because the first roll mus be a 3

Answer 21

you have only 5 possibilities:
first dice second dice
3 1
3 2
1 3
2 3
and
3 3
out of 6*6 possibilities of rolling two dices

Answer 22

yeah i think hes right

Answer 23

oh I see what you did there

Answer 24

count the number of integers k on a die so that 3+k<7

Answer 25

and multiply it by two for double pairs
and subtract 1 so you don't over count the 3,3

Answer 26

and divided by 36

Answer 27

it could be done in that way but i prefer to simply write down the possibilities and count it when youre dealing with dice

Answer 28

Fifciol you study mathematics

Answer 29

i think i got it wrong

Answer 30

thanks a lot..

Answer 31

no problem,

Answer 32

study any analysis fifciol?

Answer 33

mathematics is just a tool to solve problems but dont you want to make life easier? :)

Answer 34

of course

Answer 35

thats narrow minded lol, do you know about special functions?

Answer 36

like zeta functions/l functions etc

Answer 37

yes i do

Answer 38

do you know about euler products, those are nice

Answer 39

like $$\prod_{p}(1+f(p)+f(p^2)+f(p^3)....)=\sum_{n=1}^\infty f(n)$$

Answer 40

or is that to number theorish for u

Answer 41

i dealt with gamma function and i remember i solved those integrals for some simple numbers

Answer 42

nvm, good luck with life or whatever

Answer 43

do you believe that everything is written in numbers?

Answer 44

that is kinda vague, what do you mean by that

Answer 45

heres a nice telescoping sum, $$\frac{1}{\ln(q)}=\sum_{n=-\infty}^\infty\frac{2^n}{q^{2^n}+1}$$

Answer 46

i am a bit random

Answer 47

you gotta be more pragmatic

Answer 48

pragmatic?

Answer 49

its 2:36 am in california, where are you?

Answer 50

we're talking about problem with dice you're giving the wrong answer im trying to make you see it and then you show me a telescopic sum and tell that jack is not your name doont you think it kinda strange?

Answer 51

i am euler and its 99:99 in math heaven :)

Answer 52

it is one :)
i got You :)

Answer 53

yes

Answer 54

live in a dorm?