Exams

If there are total 100 candidates,
40 candidates are really capable and
60 candidates are incapable.
Of the candidates who are really capable = 80%
40*(80/100)=32 pass the test and
of the incapable= 30%
60*(30/100)=18 pass the test.
Total candidates who passed the test = 32+18 = 50
The proportion of the really capable students who can pass the test to the total students who can pass = 32/50 = 16/25.

Mango Cup is associated with Cricket game. The MANGO CUP is a Triangular Cricket limited overs tournament between the Manglorean CatholicAssociation of Sydney (MCAS), Australian Residents Anglo Indian Association (ARAIA) and GoanOverseas Association-NSW (GOA).

Hence, the tournament is named from both (Man) from Manglorean CatholicAssociation of Sydney and (go) from GoanOverseas Association-NSW.

Total number of chairs = (3 + 5 + 4) = 12.

Let S be the sample space.

Then, n(s)= Number of ways of picking 2 chairs out of 12

= 12×11/2×1 = 66

Let n(E) = number of events of selecting 2 chairs for selecting no white chairs.

=> 8C2 = 8×7/2×1 = 28

Therefore required probability = 28/66 = 14/33.