easy   Probability

Strictly Increasing Dice

A release-checked easy problem for training Combinations and Permutations, Dice.

Question

You have four regular six-sided dice that you roll one after the other. What is the probability that your rolls form a strictly increasing sequence?

Practice focus

This Probability problem is tagged Combinations and Permutations, Dice. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.

Explore related collections

Reviewed questions in this area

easyBaby BoyReviewed

Probability · SIG, DE Shaw

easyBad BagelReviewed

Probability · SIG, Jane Street