SOLUTION: If five card hands are dealt at random from an ordinary deck of 52 playing cards. The instructor asked a) how many hands are possible. I figured that as being 2,598,960 hands pos

Algebra ->  Algebra  -> Permutations -> SOLUTION: If five card hands are dealt at random from an ordinary deck of 52 playing cards. The instructor asked a) how many hands are possible. I figured that as being 2,598,960 hands pos      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 266134: If five card hands are dealt at random from an ordinary deck of 52 playing cards. The instructor asked a) how many hands are possible. I figured that as being 2,598,960 hands possible using combination formula. b) how many hands are possible that contain only red cards? c) how many hands are possible that contain only spades? I'm pretty sure I can figure out c by knowing how to compute b. Can you help?
Answer by josmiceli(9664) About Me  (Show Source):
You can put this solution on YOUR website!
There are 26 chances out of 52 for a red card,
so for the 1st card:
26%2F52 is the probability
Now there are 51 cards left and 25 red cards
25%2F51 is the probability
Now multiply probabilities for 5 red cards in a row:
%2826%2F52%29%2A%2825%2F51%29%2A%2824%2F50%29%2A%2823%2F49%29%2A%2822%2F48%29
All spades is the same idea, but start with 13%2F52