NCERT Class XII Mathematics Chapter - - Solutions

Question : 96

Total: 101

If each element of a second order determinant is either zero or one, what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently, each value being assumed with probability

Solution:

Total number of determinant of order 2 with values either zero or one =24=16 . Determinants of the positive values are :
|

1	0
0	1

|,|

1	0
1	1

| and |

1	1
0	1

|
Since each entry of the said determinant can be selected with equal probability.
∴ Required probability =

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