Question

The probability of guessing the correct answer to certain test questions is $\frac{y}{4}$. If the probability of not guessing the correct answer to these questions is $\frac{3}{4}$, then the value of y is:

• A. 1
• B. 0
• C. $\frac{1}{2}$
• D. $\frac{1}{4}$

Answer 1

The correct option is A

1

Given, P(correct answer) = $\frac{y}{4}$ and P(incorrect answer) = $\frac{3}{4}$.

P(correct answer) = 1 - P(incorrect answer) [$\because$ P(A)+P($\overline{A}$) = 1]

$\frac{y}{4}$ = 1 - $\frac{3}{4}$

$⟹$ y = 1