Handout 2 Problems

Suppose that you have a perfectly shuffled deck of 52 playing cards and draw 5 cards.

  1. How many ways could you get a royal flush (same suit for 10, J, Q, K, A)?
  2. How many ways could you get a straight flush without having a royal flush (same suit for sequence of 5 cards)?
  3. How many ways could you get a four of a kind?
  4. How many ways could you get a 3 of a kind and a pair?
  5. How many ways could you get a 3 of a kind without a pair?
  6. How many ways could you get a hand without any pairs, three of kind, or four of a kind?
  1. How many possible ways could you receive your five cards?
  2. How would you calculate probabilities for 1-6?