If you have a deck of 52 cards and draw random cards that are not pairs you're left with 50 cards. You now draw 5 new cards.

Question 1) What is the probability that the first 2 cards and the 5 cards contain a royal flush, i.e. same colour of any suit with cards 10, J, Q, K, A?

Question 2) What is the probability that the first 2 cards and the 5 cards contain one single pair and 5 random cards?

Question 3) What is the probability that the first 2 cards and the 5 cards contain a straight flush i.e. 5 consecutive number cards i.e. 2,3,4,5,6 or 3,4,5,6,7 etc in the same suit and colour?