Question

two dice are thrown simultaneously find the probability of getting a square number on the top face of both side

Answer 1

When two dice are drawn there will be 36 combinations. However, for getting the same number on both die, there will be 6 possibilities which are (1,1),(2,2),(3,3),(4,4),(5,5) and (6,6). Hence, the required probability is 6/36 = 1/6.

Answer 2

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
A = { (1,1) (4,4) } n (A) = 2
p( A) = 2/36