Question 1206213
.
Five cards are selected from a 52-card deck for a poker hand.
(a) How many simple events are in the sample space?
(b) A royal flush is a hand that contains the A, K, Q, J, and 10, all in the same suit. 
How many ways are there to get a royal flush? 
(c) What is the probability of being dealt a royal flush? (Enter your probability as a fraction.)
~~~~~~~~~~~~~~~~~~~~~


<pre>
(a)  The number of events in the sample space is  {{{C[52]^5}}} = {{{(52*51*50*49*48)/(1*2*3*4*5)}}} = 2598960.    <U>ANSWER</U>


(b)  4.   (There are 4 (four) suits in the standard card drck).



(c)  P = {{{4/2598960}}} = {{{1/649740}}} = 1.54E-06   (rounded).    <U>ANSWER</U>
</pre>

Solved.