Question

A poker hand consists of five cards.
a). find the total number of possible five card poker hands.
b) a diamond flush is a five card hand consisting of all diamonds. find the number of possible diamond flushes
c) find the probability of being dealt a diamond flush

Answer 1

a) The number of combinations of 52 cards taken 5 at a time is given by:
\[\large C(52, 5)=\frac{52!}{5!(52-5)!}=\frac{52\times51\times40\times49\times48}{5\times4\times3\times2\times1}=you\ can\ calculate\]