Question

A number is selected from the set {1, 2, 3, 4, 5, 6, 7, 8}. The probability that it is a root of the equation x² – 6x + 8 = 0, is ______.

Answer 1

A number is selected from the set {1, 2, 3, 4, 5, 6, 7, 8}. The probability that it is a root of the equation x² – 6x + 8 = 0, is `underlinebb(1/4)`.

Explanation:

Factor the equation: \[x^2-6x+8=(x-2)(x-4)=0\].

Its roots, 2 and 4, are both in the set.

Thus, the probability is \[\frac{2}{8}= \frac{1}{4}\].