UPSEE 2018 Solved Paper

We have two dice of different colours, are thrown simultaneous.
∴ Total number of sample space =36
A be the event that sum of the faces appears is 7
i.e. A={(1,6)(2,5)(3,4)(4,3) (5,2)(6,1)
∴P(A)=

6

36

and B be the event that sum of the faces appears is 11
i.e. B={(5,6)(6,5)}
P(B)=

2

36

∴ Required probability =P(A)+P(B)
=

6

36

+

2

36

=

8

36

=

2

9