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AP EAMCET202422 May 2024Evening ShiftMathematicsProbabilityActual

If each of the coefficients a, b, c in the equation a x^2+b x+c=0 is determined by throwing a die, then the probability that the equation will have equal roots, is

Options

  1. A1 36
  2. B1 72
  3. C7 216
  4. D5 216

Correct answer

D. 5 216

Step-by-step solution

a x^2+b x+c=0 For equal roots, b^2=4 a c array |c|c|c| b & ( a , c ) & Total 1 & - & 0 2 & (1,1) & 1 3 & - & 0 4 & (1,4)(4,1)(2,2) & 3 5 & - & 0 6 & (3,3) & 1 array Required probability = 5 216

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