# The probability of guessing the correct answer is x/2. If the probability of not guessing the correct answer is x/3 . What is te value of x

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by Comp1246

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by Comp1246

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and let, probability of not guessing the correct answer be P(E₁).

We know that the sum of all probabilities of an vent is 1.

i.e.,P(E)+P(E₁)+.................+P(Eₓ)=1

ATQ,

x/2=P(E) and x/3=P(E₁)

So, P(E)+P(E₁)=1

x/2+x/3=1

(3x+2x)/6=1

5x=6

x=6/5