# Probability (Multiple independent events: AND)

Calculate the probability of the following sets of events:

You have cupboard full of plates, but you do not have a full set of any dishes. You have 3 blue plates, 6 flowered plates, 2 white plates and 1 green plate.

- If you are eating alone, and you choose randomly, what is the probability that you get the green plate?
- If you are eating with one other person, what's the probability that you get the green plate and a blue plate?
- Or, if you prefer matching plates, what's the probability that you pull out two blue plates?
- If you choose randomly, what is the probability that you will pull out 4 flowered plates in a row?
- Let's say you hate the flowered plates, what's the probability that you pull 2 blue plates and 2 white plates?
- What's the probability of getting 4 non-flowered plates?

You are playing cards with a friend. There are 52 cards in a standard deck, divided into 4 suits (13 hearts, 13 spades, 13 clubs, 13 diamonds). Each suit contains an ace, king, queen, jack, 10, 9, 8, 7, 6, 5, 4, 3, and 2 (there are 4 of each of these cards in each deck).

- What is the probability that you get a pair of aces in your first two cards?
- What is the probability that you get 3 kings in the first three cards?
- What is the probability that you get a flush, all 5 of the cards in your hand are the same suit?
- What is the probability that you get a royal straight (specfically: get the following cards in this order:10, Jack, Queen, King, Ace)?
- What is the probability that you get a full house (specifically, first three of a kind and then a pair)?
- What is the probability that you get four kings and an ace (in that order)?