What is the Probability of Drawing Specific Combinations from a Deck of Cards?

[benorin]

Homework Statement

Suppose u have a deck composed of 4 aces and 2 kings. Find P(exactly 3 aces when u draw 3 cards), P(exactly 1 king and 2 aces when u draw 3 cards), and P(exactly 2 kings and 1 ace when u draw 3 cards).

Homework Equations

The Attempt at a Solution

P(exactly 3 aces when u draw 3 cards)=4/6*3/5*2/4=1/5

 

[adjacent]

P(exactly 3 aces when u draw 3 cards)=4/6*3/5*2/4=1/5

You do the same thing for (exactly 1 king and 2 aces when u draw 3 cards) and (exactly 2 kings and 1 ace when u draw 3 cards). However, you will have to consider the order of taking kings and aces. You will need Or rule too.
Drawing a tree diagram is very helpful