A student guesses all 5 questions of a quiz, each with 4 options of which one is right. What is the probability that all 5 guesses are right?

Explanation

1. 01

   Each guess is right with probability $\frac{1}{4}$, independently.

2. 02

   $P(X = 5) = \left(\frac{1}{4}\right)^{5} = \frac{1}{1{,}024}$.