Question

a true false test has 12 questions. What is the probability of guessing the correct answer to all of the questions

Answer 1

Step 1

Given;

$A\text{ true/false test with 12 questions}$

Required; To find the probability of guessing the correct answer to all of the questions.

Step 2

Find the probability of guessing one correct answer

$\begin{gathered} Probability\text{ of an event=}\frac{Required\text{ number of events}}{Total\text{ number of events}} \\ Total\text{ number of events=2, that is true or false} \\ Required\text{ number of events= 1, that one correct answer} \\ Probability\text{ of one correct answer=}\frac{1}{2} \end{gathered}$

Therefore, the probability of guessing the correct answer to all the 12 questions will be;

$=(\frac{1}{2})^{12}=\frac{1}{4096}$

1