Binomial Distribution

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Properties of a Binomial Distribution:

  • A fixed chance of success. (Probability p)
  • Only one other outcome, failure. (Probability 1-p)
  • A fixed number of trials. (n) 
  • The trials are independent. 


P(r successes in n trials) = nCr x pr x (1-p)n-r

Example (taken from MyMaths):

 Rob has a faulty alarm clock and is late for school 20% of the time.

In one school week, what is the probability that he is late on 3 days?


  • Success (p) = 0.2
  • Failure (1-p) = 1 - 0.2 = 0.8
  • Number of


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