Question

You are dealt one card from a standard 52-card deck. Find the probability of being dealt

a. a queen

b. a jack

c. a club

d. a diamond

e. a face card

f. a jack and a diamond

g. a card greater than 3 and less than 7

h. a jack or a diamond

i. a card with a green heart

j. a diamond and club

Answer 1

a) P(queen) = 4/52 = 0.0769

b) P(a jack) = 4/52 = 0.0769

c) P(a club) = 13/52 = 0.25

d) P(a diamond) = 13/52 = 0.25

e) P(a face card) = 12/52 = 0.2308

f) P(a jack and a diamond) = 1/52 = 0.0192

g) P(a card greater than 3 and less than 7) = 12/52 = 0.2308

h) P(a jack or a diamond) = P(jack) + P(diamond) - P(jack and diamond)

                                         = 4/52 + 13/52 - 1/52

                                         = 16/52 = 0.3077

i) P(a card with a green heart) = 0

j) P(a diamond and club) = 0