7/16
Expalanation: There are 8 odd numbers (1, 3, 5, 7, 9, 11, 13, 15) out of the 16 sectors on the spinning disk. If we know that the indicator has stopped at a number greater than 3, then we can only consider the odd numbers 5, 7, 9, 11, 13, and 15. Out of these, there are 6 possibilities, and since the total number of sectors is 16, the probability of the indicator stopping at an odd number given that it stopped at a number greater than 3 is 6/16 = 3/8.