Question

The probability of guessing the correct answer to certain question is $\frac{p}{12}$. If the probability of not guessing the correct answer to same question is $\frac{3}{4}$, the value of $p$ is :

• A. $3$
• B. $4$
• C. $2$
• D. $1$

Answer 1

The correct option is A $3$

The probability of guessing the correct answer to certain question is $\frac{p}{12}$.

The probability of not guessing the correct answer to same question is $\frac{3}{4}$

Now, $P\left(\text{Event Happening}\right)+P\left(\text{Event not happening}\right)=1$

$\Rightarrow \frac{p}{12}=1-\frac{3}{4}=\frac{1}{4}$

$\Rightarrow p=\frac{12}{4}=3$