← Squarepoint Interview Insights
I started by counting total outcomes (6^3 = 216) then tried to count strictly increasing triples.
Recognize that the three rolls are independent and each outcome is equally likely. Count the number of strictly increasing sequences of length 3 from {1,2,3,4,5,6} and divide by the total number of possible outcomes (6^3 = 216).
Pro tip: Mention that the probability is equivalent to choosing 3 distinct numbers from 6 and then arranging them in increasing order, which simplifies to C(6,3)/6^3. This shows you can reframe the problem elegantly.
Clarify that we roll a fair 6-sided die three times and want the probability that the outcomes are strictly increasing (e.g., 2,4,5).
Calculate the total number of possible outcomes for three rolls: 6^3 = 216, since each roll is independent and has 6 possibilities.
Count the number of strictly increasing sequences of length 3 from the set {1,2,3,4,5,6}. This is equivalent to choosing 3 distinct numbers from 6, which can be done in C(6,3) = 20 ways.
Divide the number of favorable outcomes by the total outcomes: 20/216 = 5/54.
Double-check the counting logic and simplify the fraction. Present the final answer clearly.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.