If the numbers appeared on the two throws of a fair six faced die are and , then the probability that x^2+ αx+ 0, for all x ∈R, is:

Question

If the numbers appeared on the two throws of a fair six faced die are and , then the probability that x^2+ αx+ >0, for all x ∈R, is:

Accepted Answer

Correct answer: A. (a) x^2+ αx+ >0 , ∀x ∈R D= ^2-4 <0 ^2<4 Total cases =6 6=36 Fav. cases = =1 , =1 =2 , =1 ,2 =3 , =1 ,2 ,3 =4 , =1 ,2 ,3 =5 , =1 ,2 ,3 ,4 =6 , =1 ,2 ,3 ,4 Total favourable cases =17 P (x )= 1736

$If the numbers appeared on the two throws of a fair six faced die are α and β, then the probability that x^{2} + αx + β > 0, for all x \in R, is:$

Solution

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