How Does the Binomial Coefficient Calculate Combinations?

1 reply · 2K views · last reply
g.lemaitre
Messages
267
Reaction score
2

Homework Statement



Worked binomial probability calculation showing P(x) with coefficients (5 choose x), (0.25)^x and (0.75)^(5-x), and values P(0)=0.2373, P(1)=0.3955, P(2)=0.2637, P(3)=0.0879, with (5 choose 2) and (5 choose 3) each evaluated as 10.


Homework Equations


The Attempt at a Solution



do you see where it says 5 over 2 = 10 and 5 over 3 = 10. How? I don't get what they're doing.
 

Discussion

Similar threads

Maclaurin series coefficient calculation for 8x²sin(9x)
  • andydan1060
  • · Replies 6 ·
  • Calculus and Beyond Homework Help
Replies
6
How Does the Binomial Coefficient Relate to Subsets of Binary Sequences?
  • muso07
  • · Replies 1 ·
  • Calculus and Beyond Homework Help
Replies
1
Why does the binomial coefficient split into f(n-1,k-1) and f(n-1,k)?
  • foxjwill
  • · Replies 2 ·
  • Calculus and Beyond Homework Help
Replies
2
Fourier coefficient calculations
  • fluidistic
  • · Replies 2 ·
  • Calculus and Beyond Homework Help
Replies
2
How Does the Binomial Coefficient Apply to Multiple Outcome Scenarios?
  • sherrellbc
  • · Replies 4 ·
  • Precalculus Mathematics Homework Help
Replies
4
How Do You Calculate Combinations for Ice Cream Flavors with Constraints?
  • roadrunner
  • · Replies 6 ·
  • Calculus and Beyond Homework Help
Replies
6
Undergrad How can a program calculate combinations for three players without repetition?
  • Oljeg
  • · Replies 4 ·
  • Set Theory, Logic, Probability, Statistics
Replies
4
MCNP dose coefficient calculation for cylindrical phantom at 1 keV to 50 MeV
  • Mark Hamil
  • · Replies 1 ·
  • Nuclear Engineering
Replies
1
Undergrad What does the binomial coefficient notation mean in the binomial theorem formula?
  • MadmanMurray
  • · Replies 4 ·
  • Set Theory, Logic, Probability, Statistics
Replies
4
Molar extinction coefficient calculation.
  • Lahe
  • · Replies 5 ·
  • Biology and Chemistry Homework Help
Replies
5