You draw two cards from a standard deck of 52 cards without replacing the first

Question

You draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second.
(a) Are the outcomes on the two cards independent? Why?
Yes. The events can occur together.   
No. The probability of drawing a specific second card depends on the identity of the first card.

(b) Find P(3 on 1st card and 10 on 2nd). (Enter your answer as a fraction.)
(c) Find P(10 on 1st card and 3 on 2nd). (Enter your answer as a fraction.)

(d) Find the probability of drawing a 10 and a 3 in either order. (Enter your answer as a fraction.)

Explanation / Answer

a) No. The probability of drawing a specific second card depends on the identity of the first card.

b)

P(3 on 1st card and 10 on 2nd) =(4/52)*(4/51) =4/663

c_) P(10 on 1st card and 3 on 2nd)= (4/52)*(4/51) =4/663

d)  probability of drawing a 10 and a 3 in either order =4/663+4/663 =8/663

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