NIMCET 2012 Question Paper with solutions

Question : 10 of 120

Marks: +1, -0

A determinant is chosen at random from the setof all determinants of matrices of order 2 withelements 0 and 1 only. The probability that thedeterminant chosen is non-zero, is

$3/{16}$
$3/{8}$
$1/4$
None of these

Validate

Solution:

The total sample events n(s) = 4 .

(2)^2

= 4 x 4 = 16
and total favourable cases n(E) = 6
which is

[\table 0,1;1,1]

[\table 1,0;1,1]

[\table 1,1;0,1]

[\table 1,1;1,0]

[\table 1,0;0,1]

and

[\table 0,1;1,0]

∴ Required probability =

{n(E)}/{n(S)}

6/{16}

3/8

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