UPSC NDA Math Model Paper 8

The sum can be even only if either both the dices have even numbers or both have odd numbers
Possibility of the first dice getting even number (P1)=

1

2

Possibility of the first dice getting an odd number (P2)=

1

2

Possibility of the second dice getting even number (P3)=

1

2

Possibility of the second dice getting an odd number (P4)=

1

2

Probability of getting the sum as even (P)=P1×P3+P2×P4
P=

1

2

×

1

2

+

1

2

×

1

2

=

1

2