Question

two fair dice are rolled what is the probability that the sum of the dice equal to 5. ( next ? sum of dice is at least 10 or more)

Answer 1

for this we count
how many ways to get 5 on two dice?
(1,4),(2,3), (3,2), (4,1) four ways out of the total of 36

Answer 2

so your probability is \(\frac{4}{36}=\frac{1}{9}\)

Answer 3

where are you gettiing the 36 from

Answer 4

six possibilities for first die
six possibilities for second die
counting principle says total ways is \(6\times 6=36\)

Answer 5

While rolling \(n\) dices the sample space is given by \(6^n \)

Answer 6

what first die? im confused

Answer 7

hold on i will send you a table

Answer 8

ok

Answer 9

you see you have 36 possibilities for the two dice to be rolled

Answer 10

ahh ok got it

Answer 11

usually they are described as
(1,1) , (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) , (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) , (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) , (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) , (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) , (6,2) (6,3) (6,4) (6,5) (6,6)

Answer 12

so any probability question you have with dice amounts to counting what you want and dividing by 36

Answer 13

so for ten or more, count how many ways you can get ten or more and divide by 36

Answer 14

ok i got 1/6

Answer 15

yeah that'll do it