To solve the given numerical series, we must identify the pattern or rule used to generate the sequence: \(3, 3, 9, 15, 33, (?)\).

Let's analyze the given series to find the logic behind it.

1. Start with the first number: \(3\).
2. The second number is also \(3\), indicating that there's no addition or multiplication here. This suggests it might be intentional to accommodate the next relation.
3. Observe the third number: \(9\). This can be seen as \(3 \times 3 = 9\). Here, the second number multiplied by the first gives the third.
4. Next, consider the fourth number: \(15\). Add \(6\) to the third number (\(9\)) to get \(15\). So, \(9 + 6 = 15\).
5. Now, check the fifth number: \(33\). Add \(18\) to the fourth number (\(15\)) to get \(33\). So, \(15 + 18 = 33\).

Now let's try to identify a more consistent pattern:

1. The differences between consecutive terms are \(0, 6, 18\). These differences are all multiples of \(6\): \(0 = 6 \times 0, 6 = 6 \times 1,\) and \(18 = 6 \times 3\). This pattern is increasing by odd multiples of \(6\).
2. Following this sequence pattern, the next difference should be \(6 \times 5 = 30\) (since \(0, 6, 18, 30, ...\) follows an increasing odd series pattern \(1, 3, 5...\)).
3. Therefore, if the last computed term is \(33\), we predict the next term by adding \(30\): \[ 33 + 30 = 63 \]

Therefore, the number that will replace the question mark \( ? \) is 63.

Among the provided options, the correct answer is indeed 63.