SOLUTION: What is the probability that a bridge hand of 13 cards contains six spades, four hearts, two diamonds, and one club? I think i started it right P(6 spades)=13C6(39C7)/52C13= 0.

Algebra ->  Probability-and-statistics -> SOLUTION: What is the probability that a bridge hand of 13 cards contains six spades, four hearts, two diamonds, and one club? I think i started it right P(6 spades)=13C6(39C7)/52C13= 0.      Log On


   

Question 1177431: What is the probability that a bridge hand of 13 cards contains six spades, four hearts, two diamonds, and one club?
I think i started it right P(6 spades)=13C6(39C7)/52C13= 0.04156
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
P(6 spades)=13C6(39C7)/52C13
The important example set here, is that 'multiplication' is in order.
(6 Spades and 7 other cards)  NOte only one AND

 six spades AND four hearts AND two diamonds AND one club?

 P = (4P4)[(13C6)(13C4)(13C2)(13C1)]/(52C13) = 24(1244117160)/52C13) = .0470

Note: 4P4 is 4! = 24 
Wish You the Best in your Studies.