UPSEE Solved Model Paper 7

Total ways =

12

‌

C2 = 66
E3 = the event of the sum being 3
E6 = the event of the sum being 6
E9 = the event of the sum being 9
E12 = the event of the sum being 12
E15 = the event of the sum being 15
E18 = the event of the sum being 18
E21 = the event of the sum being 21
(sum maximum = 11 + 12 = 23)
[(Which is not divisible by 3)
(Highest number divisible by 3 is 21)
∴ n(E1) = 1, n(E6) = 2, n(E9) = 4 , n(E12) = 5 , n(E15) = 5 , n(E18) = 3 , n(E21) = 3]
∴ Required probability =

7 Σ i=1 n(E3i)

66

=

22

66

=

1

3