# The probability of guessing the correct answerto a certain question is x/3 . if the probability of not guessing the correct answer is 5x/3 then find the value of x

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Then its complement is P'.

We know that P + P' =1

∴ x/3 + 5x/3 = 1

∴6x/3 = 1

∴2x = 1

∴x = 1/2 = 0.5

Thus x=1/2

probability of guessing the not a correct answer( p₁ ) = 5x/3

p + p₁ = 1

x/3 + 5x/3 = 1

6x/3 = 1

2x = 1

x = 1/2