In a 52 playing card deck a 2 of hearts card and a Jack of clubs is taken out of the deck. What are the probabilities for a royal flush, a straight flush (not including a royal flush), and four of a kind?

There is no other relevant information. A similar question was asked and I received help from a tutor. I am trying to double check my answers. There is a link below with regular probabilities of 5 card poker hands in each category. But the question is what are the probabilities when you take out these unique cards from the deck.

The work I did on my own thus far is this:

The new sample space of this deck is 50 cards instead of 52 because you are omitting two cards.

So, the sample space probability is 50 choose 5 = 2118769.

a royal flush consists of 10, j, q, k, a in all of the suits. there are only three possible royal flushes in suits of hearts, spades, and diamonds because a Jack of clubs is taken out of the deck