Question

Two dice are thrown simultaneously.
Find the probability of getting an even number on first and Odd on the other ?

Answer 1

Dear student,
Sample space of rolling a pair of 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)

The cases of getting an even number on first and Odd on the other
(2,1), (2,3), (2,5),(4,1), (4,3), (4,5),(6,1),(6,3),(6,5).

total number of outcome=36
number of favourable case=9

probability=number of favourable case/total number of outcome
=9/36=1/4

Regards!