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Each coefficient in the equation a x^2+b...

Each coefficient in the equation `a x^2+b x+c=0` is determined by throwing an ordinary six faced die. Find the probability that the equation will have real roots.

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Verified by Experts

We know that roots are equal if equal
`=>b^2−4ac=0`
If `b=1` then
`1/4=ac.` No integral values of a and c.
If `b=2` then
`=>4-4ac=0`
`=>1=ac`
...
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