Question

You roll two dice. What is the probability of the event that you roll a total of seven or twelve on the two dice?

Answer 1

fill in a table and count is the easiest way to start

Answer 2

see how many ways there are to get a 7, and also how many ways to get a 12
divide that number by 36, which the total number of possible outcomes

Answer 3

I have 3 different ways and divided by 36 is 12, sounding right?

Answer 4

oh no there are lots of ways to get a 7 on two dice

Answer 5

maybe it wasn't clear what i meant by fill in the table

Answer 6

here are the ways to get a 7 on two dice
(1,6),(2,5), (3,4), (4,3), (5,2), (1,6)
there are six ways

Answer 7

only one way to get a 12, namely (6,6)

Answer 8

total if seven ways to get a 7 or a 12

Answer 9

you said (1,6) twice and isn't (2,5) the exact same thing as (5,2)?

Answer 10

picture two dice, one is red and one green

Answer 11

then the sum (2,5) and (5, 2) is the same, they are both 7, but the outcomes are different

Answer 12

Okay, so would the fraction be 7/36?

Answer 13

that is why i sent you the table, so you can see all the possibilities
\[(\color{red}5,\color{green}2)\] a opposed to
\[(\color{red}2,\color{green}5)\]

Answer 14

yes, \(\frac{7}{36}\)

Answer 15

Thank you for your help.