1. Tardigrade
  2. Question
  3. Mathematics
  4. Consider the equation x 2+ kx +1=0. A single fair die is rolled to determine the value of the middle coefficient, k. The value of k is the number of dots on the upper face of the die. The probability that the equation will have real and unequal roots is

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Q. Consider the equation $x ^2+ kx +1=0$. A single fair die is rolled to determine the value of the middle coefficient, $k$. The value of $k$ is the number of dots on the upper face of the die. The probability that the equation will have real and unequal roots is

Probability - Part 2

Solution:

$D>0 \Rightarrow k^2-4>0$
$k>2 \Rightarrow k=\{3,4,5,6\} $
$P\left(\text { real unequal roots) }=\frac{4}{6}=\frac{2}{3}\right.$