Answer:
Find the following probabilities if you are dealt cards from a standard 52-card deck. Round your answers to three decimal places.
a. If a card is randomly selected, what is the probability that the card is a heart?
13/52 = 1/4
b. If a card is randomly selected, what is the probability that the card is either a club or a spade?
26/52 = 1/2
c. If a cards is randomly selected, what is the probability that the card is both a club and a spade?
0
d. If two cards are randomly selected, what is the probability of drawing a three first, then drawing a jack?
4/52·4/51 = 4/663 = 0.006033182503
e. If two cards are randomly selected, what is the probability of drawing a heart first, then drawing a diamond?
13/52·13/51 = 13/204 = 0.06372549019
f. If two cards are randomly selected, what is the probability of drawing a face card followed by drawing an ace?
12/52·4/51 = 4/221 = 0.01809954751
g. If two cards are randomly selected, what is the probability of drawing a diamond first, then drawing an eight?
12/52·4/51 + 1/52·3/51 = 1/52 = 0.01923076923