Question

a die numbered from 1 to 6 is thrown twice . write sample space find the probability that numbers shown are even

Answer 1

A die is thrown twice, therefore
S = { (11),(12),(13),(14),(15),(16),
(21),(22),(23),(24),(25),(26),
(31),(32),(33),(34),(35),(36),
(41),(42),(43),(44),(45),(46),
(51),(52),(53),(54),(55),(56),
(61),(62),(63),(64),(65),(66)}

n(S) = 36

A : the shown are even

A = {(22),(24),(26),(42),(44),(46),(62),(64),(66)}

n(A) = 9
P(A) = n(A)/n(S)
= 9/36
=1/4

Answer 2

No. Of favarable outcomes
_____________________. =2
No. Of total outcomes _
6
=1
_
2