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प्रश्न
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 ______.
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उत्तर
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 \[\frac{2}{8}= \frac{1}{4}\].
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