Conditional Probability Multiplication Rule Help

Question

Suppose three cards are drawn at random from a standard deck. What is the probability they are all face cards?

Answer 1

There are 12 face cards in a 52 card deck, so the probability of picking a face card on the first draw is:

 

     P1 = 12/52

 

On the second draw, there are 51 cards left.  Assuming you picked a face card on the first draw, there are only 11 face cards left, so the probability is:

 

     P2 = 11/51

 

Similarly, the probability of picking a face card on the third draw is:

 

     P3 = 10/50

 

The probability of picking three cards that are all face cards is:

 

     P = P1*P2*P3 = (12/52)(11/51)(10/50) = _____