Engineering
Mathematics
Conditional Probability
Question

A number is selected from the set {1, 2, 3, 4, 5, 6, 7, 8}. What is the probability that it will be the root of the equation x2 – 6+ 8 = 0 ?

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Solution
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There are 8 numbers.
The roots of the equaton x2 – 6+ 8 = 0 are 2 and 4.
The number of favourable outcomes is 2.
∴ Required probability = 28=14.
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