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?

(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.)

a) The outcome of the two cards are independent because the occurrence of one does not affect the occurrence of the other.

b) in a 52 playing cards number of 3 is 4. [n (3) = 4], number of 10 is 4 [n (10) = 4]

P (3) * p (10) = 4/52 * 4/52 = 1/13*1/13 = 1/169

c) n (10) = 4 n (3) = 4

P (10) * P (3) = 4/52 * 4/52 = 1/13 * 1/13 = 1/169

d) probability of drawing a 10 and a 3 in either order.

P (10) * P (3) + p (3) * p (10)

1/13 * 1/13 + 1/13 * 1/13

1/169 + 1/169

=2/169