Q.

A determinent is chosen at random from the set of all 2×2 determinants with entries 0 or 1 only. The probability that a randomly chosen determinant has positive value is

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a

38

b

316

c

58

d

1316

answer is B.

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Detailed Solution

n(S)=24=16 E={|1001|,|1101|,|1011|} n(E)=3 P(E)=316 ∴ The probability that a randomly chosen determinant has positive value is 316
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