Three cards are drawn at random successively, with replacement, from a well shuffled pack

of cards. Getting a card of diamonds is termed as success. Obtain the probability distribution of

the number of successes.

a) x 0 1 2 3

p(x) 27/64 27/64 9/64 1/64

b) x 0 1 2 3

p(x) 1/9 4/9 1/9 6/9

c) x 0 1 2 3

p(x) 4/9 4/9 1/9 5/9

d) x 0 1 2 3

p(x) 4/64 7/64 1/64 8/64