Question

You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of 6

Answer 1

Answer:

$P(getting \ sum \ 6)=\frac{5}{36}$

Step-by-step explanation:

You roll two fair dice, a green one and a red one

green dice has 6 sides and red dice has 6 sides

The outcomes of two dice is

(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)

Total number of outcomes = 36

Consider the pairs that gives us sum 6

(1,5) (2,4) (3,3)  (4,2)   (5,1) , 5 outcomes

$P(getting \ sum \ 6)=\frac{5}{36}$