We know that sample space S on throwing a dice is S=(1,2,4,5,6]

∴ Total number of cases (possible outcomes) n(S)=6

Event E: Getting a number greater than 4,

E={5,6}Number of favourable Gases =n(E)=2

∴P(E)=n(S)n(E)=62=31

Solution:-

(a) A number greater than 4

First we should see the numbers greater than 4 = 5, 6 => 2 numbers

The total possible outcomes

= 2/6

(When simplified )

=1/3

∴ Probability = 1/3

(b) An even number

First we should see the even number= 2, 4, 6 => 3 numbers

The total possible outcomes

= 3/6

(When simplified )

=1/2

∴ Probability = 1/2