Although the total number of marbles is not specified (only that it's more than 30), we can pick a number to make calculations easier. Let's say the total number is 60. Given that the number of red marbles is 5 times more than the number of black marbles, the number of red marbles is 50 and the number of black marbles is 10.

Quantity A
The probability of drawing a red marble on the 1st draw = 50/60
Since the marble is not replaced, the remaining number of red marbles is now 49 and the remaining number of total marbles is 59.
Thus, the probability of drawing a red marble on the 2nd draw = 49/59
The probability of drawing a red marble on the 3rd draw = 48/58
The probability of drawing a red marble on the 4th draw = 47/57
The probability of drawing a red marble on the 5th draw = 46/56

The probability of these 5 draws happening $= \frac{50}{60} * \frac{49}{59} * \frac{48}{58} * \frac{47}{57} * \frac{46}{56} = 254251200/655381440 = 0.388$

Quantity B
The probability of drawing a black marble on the 1st draw = 10/60
Since the marble is not replaced, the remaining number of black marbles is now 9 and the remaining number of total marbles is 59.
Thus, the probability of drawing a black marble on the 2nd draw = 9/59
The probability of drawing a black marble on the 3rd draw = 8/58
The probability of drawing a black marble on the 4th draw = 7/57
The probability of drawing a black marble on the 5th draw = 6/56

The probability of these 5 draws happening $= \frac{10}{60} * \frac{9}{59} * \frac{8}{58} * \frac{7}{57} * \frac{6}{56} = 30240/655381440 = 0.000046$

Thus, Quantity A is greater.