Question: If I roll a fair six-sided die four times, what is the probability that I roll the number 4 exactly twice?

Fri, 01 May 2026 03:56:36 +0000

# Probability of Rolling Exactly Two 4s When Rolling a Die Four Times Rolling a fair six-sided die four times is a classic probability scenario that many people encounter, whether in games, education, or just casual curiosity. A common question arises: If I roll a fair six-sided die four times, what is the probability that I roll the number 4 exactly twice? Understanding this probability involves applying the principles of binomial probability, making it a great example to explore how random events and combinations work. ## Understanding the Binomial Probability Framework This problem fits perfectly within the binomial distribution framework. The binomial distribution applies when: