pumpkinnnn7011 pumpkinnnn7011
  • 04-08-2018
  • Mathematics
contestada

What is the probability that a five-card poker hand contains a flush, that is, five cards of the same suit?

Respuesta :

konrad509
konrad509 konrad509
  • 04-08-2018

[tex] \displaystyle
|\Omega|=\binom{52}{5}=\dfrac{52!}{5!47!}=\dfrac{48\cdot49\cdot50\cdot51\cdot52}{2\cdot3\cdot4\cdot5}=2598960\\
|A|=\binom{13}{5}\cdot4=\dfrac{13!}{5!8!}\cdot4=\dfrac{9\cdot10\cdot11\cdot12\cdot13}{2\cdot3\cdot4\cdot5}\cdot4=5148\\\\
P(A)=\dfrac{5148}{2598960}=\dfrac{33}{16660}\approx0.2\% [/tex]

Answer Link

Otras preguntas

Conjugate each of these verbs for the subject given. 1) yo ________________________________ (hablar) 2) ellas ______________________________ (calzar) 3) usted
Why are you asked not to eat potatoes that have developed tiny leaves near its eye region?​
An African elephant weights 6 tons what is the weight of the elephant in pounds
9 1/5 into an improper fraction
All of the following are true regarding the March on Washington, EXCEPT 1) Dr. King delivered his "I Have a Dream” speech at the march 2) It was designed in par
A small percentage of some human DNA has a connection tho neanderthal.
Which angle(s) is/are congruent? There may be more than one answer
How does forgiveness play a role in criminal justice?
how do you pay taxes and is it hard ( just curious)
_____ is the character and personality of your organization. [A] Social media [B] Culture [C] Career [D] Atmosphere