Probability 1 Question 15

23. A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The probability that the value of the determinant chosen is positive, is… .

(1982,2M)

True/False

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Answer:

Correct Answer: 23. 316

Solution:

  1. Since, determinant is of order 2×2 and each element is 0 or 1 only.

n(S)=24=16

and the determinant is positive are

|1001|,|1101|,|1011|n(E)=3

Thus, the required probability =316



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