so damn interesting math problems made by me
Q1 You roll a fair 6-sided [1, 2, 3, 4, 5, 6] die three times (so outcomes are like (2,6,1), (4,4,4), etc.). You define a random variable X as the sum of the three rolls. Then define another random variable Y as whether the sequence is non-decreasing; 𝑅1≤ 𝑅2 ≤ 𝑅3 What is P(Y=True∣X=10)? Q2 A secret agent is in your cyber café. You know: 70% of people are regular customers (class Regular C=Reg..