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Question
The probability of guessing the correct answer to a certain question is `x/3`. If the probability of not guessing the correct answer is `x/5`, then find the value of x.
Solution
Probability of guessing the correct answer = `x/3`
P(E) = `x/3`
Probability of not guessing the correct answer = `x/5`
P(E)’ = `x/5`
But P(E) + P(E)’ = 1
`x/3 + x/5` = 1
`(5x + 3x)/5` = 1
⇒ `(8x)/15` = 1
8x = 15
x = `15/8`
∴ The value of x = `15/8`
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