Question

Two dice are thrown once. Find the probability of getting an even number on first die.

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 events, in which even number appeared on first die are,
(2, 1)...(2, 6), (4, 1)...(4, 6), (6, 1)...(6, 6), total 18 events out of 36
The probability of getting an even number on first die is,
$\frac{18}{36}$ = $\frac{1}{2}$
Regards.