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

Which of the following is NOT an example of a liquid asset? a. cash c. a certificate of deposit b. travelers’ checks d. a checking account
Why did the Spanish explore and colonize New Mexico and Florida in the 1600s?
In the Southern subregion of sub-Saharan Africa, which country is mainly covered by the Kalahari Desert?
how many feet does 5 yards equal
which term describes an enzyme
Explain why numbers with a 5 in the ones place are not prime numbers
Amphibians can breathe through their skin. True False
What groups were excluded from this widening of political opportunity? Why?
In which form of government do delegates speak on behalf of citizens? popular sovereignty authoritarian monarchy representative totalitarian
Why would a freedman agree to become a sharecropper?