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

What's the term for: unwilling to bend; unyielding
A sound wave of 70 cm travels 840 m in 2.5 sec. What is the velocity and frequency of sound?
How would you call in other words to scold or punish severely
explain why the motion of a body which is moving with constant speed in a circular path is said to be accelerated ?
What's the other term for: lacking respect; scornful
What's the term for: unwilling to bend; unyielding
example of onomatopoeia in the seven ages of man
What would cause a decrease in the quality of circulating red blood cells
explain why the motion of a body which is moving with constant speed in a circular path is said to be accelerated ?
Which chemical equation best describes the reaction of potassium metal with fluorine gas to form solid potassium fluoride? A. K(s) + F2(g) → KF2(s) B. K(s) + F(