Find the indicated probability.
-Find the probability of correctly answering the first 3 questions on a multiple choice test if random guesses are made and each question has 6 possible answers.
A) $\frac { 1 } { 729 }$
B) $\frac { 1 } { 2 }$
C) $\frac { 1 } { 216 }$
D) 2

Question

Find the indicated probability.
-Find the probability of correctly answering the first 3 questions on a multiple choice test if random guesses are made and each question has 6 possible answers. 
A) $\frac { 1 } { 729 }$
B) $\frac { 1 } { 2 }$
C) $\frac { 1 } { 216 }$
D) 2

Quizplus · Accepted Answer

The probability of guessing any one question correctly is $\frac{1}{6}$ since there are 6 possible answers. Since we are making random guesses, the probability of guessing the first question correctly is $\frac{1}{6}$. Similarly, the probability of guessing the second question correctly is $\frac{1}{6}$ and the probability of guessing the third question correctly is also $\frac{1}{6}$. Since we want to find the probability of getting all three questions right, we need to multiply these probabilities together. This gives us $\frac{1}{6} 	imes \frac{1}{6} 	imes \frac{1}{6} = \frac{1}{216}$. Therefore, the answer is C.

Find the Indicated Probability 1729\frac { 1 } { 729 }7291​

Find the Indicated Probability $\frac { 1 } { 729 }$