A card is taken from a deck of cards and then replaced. After the deck is shuffled, a second card is taken from the deck. caluculate the probabilities.

a. Both cards are diamonds or both cards are hearts.

b. Both cards are black or both cards are hearts.

c.Both cars are 2's or both cards are face cards.

d.Both cards are hearts and both cards are face cards.

a. P(A or B) = P(A) + P(B) Exclusive events

P( 1/4 x 1/4) + P(1/4 x 1/4) = 1/8

b. P( A or B) = P(1/2 x 1/2) + P( 1/4 + 1/4) = 5/16

c. P(A or B) = P(1/13 x 1/13) + P(12/52 + 12/52) = 10/169

d. P( A or B) = P(A) + P(B) - P(A or B) non -mutually events

= (1/4 x1/4) + (12/52 x 12/52) - P(1/16 x 36/676) = 0.1124

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