5 cards are drawn in succession from a deck of 52 playing cards, and each card is not replaced in the deck. What is the probability that all 5 cards are of the same suit?

Question

anonymous · Answer

no. of ways of selecting 5 cards out of 52 cards : $$^{52}C_{5}$$
now 5 cards can be selected separately each from 4 suites.

no. of ways of selecting 5 cards out of 13 cards of spades :$$^{13}C_{5}$$ 
no. of ways of selecting 5 cards out of 13 cards of hearts :$$^{13}C_{5}$$ 
no. of ways of selecting 5 cards out of 13 cards of clubs :$$^{13}C_{5}$$ 
no. of ways of selecting 5 cards out of 13 cards of diamonds :$$^{13}C_{5}$$

Probability of getting 5 cards of same suite : $$\frac{^{13}C_{5}+^{13}C_{5}+^{13}C_{5}+^{13}C_{5}}{^{52}C_{5}}$$

anonymous · Answer

are you sure sir? thanks for answering...

anonymous · Answer

i dont think that he is right.
I dont have time at the moment to go through it completely but i think it will be something like (13/52)(12/51)(11/50)(10/49)(9/48)

anonymous · Answer

oh wait i take back what i said about his. i think his might be right but may also come out to be what i put

anonymous · Answer

yes, i think so

anonymous · Answer

no, it's a different answer

anonymous · Answer

ok then i would go with his answer if i was you

anonymous · Answer

imagine each suit of cards is organized seperatly into stacks then find probability you would pull 5 from one stack. do this 4 times, once for each stack. i hope this helps i have to run to class. GL

anonymous · Answer

http://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.628467.html

anonymous · Answer

i don't know what to do!!!