Question 378570
I don't know what kind of poker hand the problem is referring to, but it is possible to find probabilities of obtaining certain hands on the first deal.

For example, we can compute the probability of obtaining a royal flush (A, K, Q, J, 10 of same suit) on the first hand.

There are only four different royal flushes possible in poker, and 52C5 ways of choosing five random cards out of 52. Thus the probability is 4/(52C5), or about 1 in 650,000.