Question

Two different dice are thrown together. What is the probability of getting a total of 6 or 7 of the numbers on two dice?

Answer 1

Answer:

5/36 and 1/6

Step-by-step explanation:

S = { (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) }

n(S) = 36

The probability of getting a total of 6 be 'A'

A = { (3,3) , (4,2) , (2,4) , (5,1) , (1,5) }

n(A) = 5

P(A) = 5/36

The probability of getting a total of 7 be 'B'

B = { (6,1) , (1,6) , (5,2) , (2,5) , (4,3) , (3,4) }

n(B) = 6

P(B) = 6/36

= 1/6