Question
Let `head` means 1 and `tail` means 2 and coefficients of the equation ax2+bx+c=0 are chosen by tossing a fair coin. The probability that the roots of the equation are non-real, is equal to
Answer: Option B
:
B
a, b, c may be 1 or 2
ax2+bx+c=0 has non-real roots if b2−4ac<0
b12(a,c)(1,1),(1,2),(2,1),(2,2)(1,2),(2,1)(2,2)=7
Hence required probabilidy =723=78.
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:
B
a, b, c may be 1 or 2
ax2+bx+c=0 has non-real roots if b2−4ac<0
b12(a,c)(1,1),(1,2),(2,1),(2,2)(1,2),(2,1)(2,2)=7
Hence required probabilidy =723=78.
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