
Hi,
I am having trouble with the following problem,
A poker hand consists of 5 cards selected randomly from an ordinary deck of cards:
find the probability of a ROYAL FLUSH : the 10 , jack, queen,king and ace of the same suit.
I was thinking somewhere along the lines of:
*the number of ways to get the suit is 4C1
*the number of ways to get a 10 out of the 13 cards etc....
...but Im not sure I am going about this the right way, could you help?
thanking you
vikki
Hi Vikki,
Yes, you are right:
Number of favourable outcomes is 4  we have 4 suits (you
wrote 4C1, but this is also 4).
Number of all possible outcome:
52C5=2,598,960.
So, probability of royal flush is 4/2,598,960=1/649740 = 0.0000015
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