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 5x/3, then find the value of x.

Answer 1

Hey mate, here is your answer-:)

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$P(E) + P(E') = 1 \\ \frac{x}{3} + \frac{5x}{3} = 1 \\ \\ \: \frac{x + 5x}{3} = 1 \\ \\ \: \: \: \: \: \: \: \: \: \frac{6x}{3} = 1 \\ \\ \: \: \: \: \: \: \: \: \: \: 2x = 1 \\ \: \: \: \: \: \: \: \: \: \: \: x = \frac{1}{2}$

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HOPE it helps to you!!!

Answer 2

Ahoy! Refer to attachment