Consider the experiment of selecting a playing card from a deck of 52 playing cards. Each card corresponds to a sample point with a $\frac{1}{52}$ probability.
(a) List the sample points in the event a king is selected.
S={king of clubs, king of diamonds, king of hearts, king of spades)
S = {x | x is a card from the deck but not jack, queen, or ace}
S={jack of clubs, jack of diamonds, jack of hearts, jack of spades)
S={13 of clubs, 13 of diamonds, 13 of hearts, 13 of spades}
S = {x | x is a card from the deck that is not a heart a diamond or a club}
(b) List the sample points in the event a heart is selected.
OS 2 of hearts, 3 of hearts, ..., 10 of hearts, jack of hearts, queen of hearts, king of hearts, ace of hearts)
S = {x | x is a card from the deck but not a club or a spade}
S={1 of hearts, 2 of hearts, ..., 10 of hearts, 11 of hearts, 12 of hearts, 13 of hearts}
OS = {2 of diamonds, 3 of diamonds, ..., 10 of diamonds, jack of diamonds, queen of diamonds, king of diamonds, ace of diamonds}
S={2 of hearts, 3 of hearts, ..., 9 of hearts, 10 of hearts, jack of hearts, queen of hearts, king of hearts)
(c) List the sample points in the event a face card (jack, queen, or king) is selected.
OS = {jack of clubs, queen of clubs, king of clubs, jack of hearts, queen of hearts, king of hearts, jack of spades, queen of spades, king of spades, jack of clubs, queen of clubs, king of
clubs)
S = {x | x is a card from the deck that is not numbered}
S={11 of clubs, 11 of diamonds, 11 of hearts, 11 of spades, 12 of clubs, 12 of diamonds, 12 of hearts, 12 of spades, 13 of clubs, 13 of diamonds, 13 of hearts, 13 of spades)
OS = {jack of clubs, jack of diamonds, jack of hearts, jack of spades, queen of clubs, queen of diamonds, queen of hearts, queen of spades, king of clubs, king of diamonds, king of
hearts, king of spades)
OS jack of hearts, queen of spades, king of clubs)
(d) Find the probabilities associated with each of the events in parts (a), (b), and (c). (Enter your probabilities as fractions.)
For (a):
For (b):
For (c):