Probability Practice Test 2

Question : 13 of 37

Marks: +1, -0

A number is selected at random from the set {-2, -1, 1, 2, 3, 4, 5, 6, 7, 8}. What is the probability that it will be a root of the equation,

x ^2 - x - 6 = 0

Solution:

x^2 - x - 6 = 0

x^2 - 3x + 2x - 6 = 0

(x - 3) (x + 2) = 0

x = 3, -2

Required probability

=2/10=1/5

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