Dec of cards

Question

What is the probability of drawing 2 diamonddiamondss in a row from a standard deck of cards when the cards are not returned to the deck after each? draw?

Answer 1

P(diamond, then another diamond) = (13/52)(12/51); you should simplify this.

Answer 2

Probability of drawing the first diamond is:

 

                13 / 52 = 1/4

 

Probability of drawing the second diamond is: 

 

               12 / 51 = 4/17

 

Probability of drawing two diamonds in a row

when the first card is not returned is:

 

          (1/4) (4/17) = 1/17