Question

The probability of guessing the correct answer to a certain question is $\frac{x}{2}$.if the probability of not guessing the correct answer to the question is $\frac{2}{3}$, then find x
x.

• A. $\frac{7}{3}$
• B. $\frac{5}{3}$
• C. $\frac{2}{3}$
• D. $\frac{1}{3}$

Answer 1

The correct option is C $\frac{2}{3}$

Sum of both probabilities should be $1$ then

$\frac{x}{2}+\frac{2}{3}=1$

$3x+4=6$

$3x=2$

$x=\frac{2}{3}.$