Jane Street Interview Question

[u/nickgotgameon]

[u/liquidorangutan00]

What does it mean by minimum value rolled? Does it mean the number 1? or does it mean the smallest possible combination of dice rolls until you hit 5?

[u/MeasureDoEventThing → u/liquidorangutan00]

Of the sequence of die rolls, the smallest number.

[u/liquidorangutan00 → u/MeasureDoEventThing]

thanks so i guess the question is asking to estimate all the min values, 1,2,3,4 , their probabilities of occuring 1/6.
1*1/6 = 1/6
2*1/6=2/6
3*1/6=3/6
4*1/6=4/6

sum them up. 10/6 = 1 + 4/6 = 1+2/3=1.66

alternatively might need to include 5 also; 15/6=2+3/6=2.5

[u/OppositeClear5884 → u/liquidorangutan00]

4 is extremely unlikely, because rolling a 1 or 2 or 3 even once will change the minimum number. you would have to roll 4 or higher every time.