Answer:
0.00000154 or 0.154 x 10^-6
Step-by-step explanation:
P (Royal Flush) = Number of ways to get a Royal Flush / Number of possible 5 card hands
Because there are 4 suits (Spades, Hearts, Clubs, Diamonds), the possible ways to get a royal flush are as follows
1) Spades (10,J,K,Q,A)
2) Hearts (10,J,K,Q,A)
3) Clubs (10,J,K,Q,A)
4) Diamonds (10,J,K,Q,A)
Hence there are 4 ways to get a Royal Flush (i.e numerator)
In order to find the number of 5 card hands, we know that a full deck as 52 cards, and we want to pick 5 cards from the deck of 52 and order does not matter. Hence
Number of possible 5 card hands =
Hence P(Royal Flush) = 4 /
= 0.00000154 or 0.154 x 10^-6