Probability involving Combinations

• P(E) = #outcomes favorable to e/ total # of outcomes
• We can use Permutations and Combinations find probabilities involving large sets.
• The Ohio lottery Lotto game you pick 6 numbers out of 49. What is your probability of winning?
  • There is 1 way (₆C₆) to pick your numbers.
  • There are ₄₉C6 ways to pick 6 numbers.
  • P(W) = 1/13,983,816 or the odds of winning are 1 in 13,983,815

Homework