Question
In: Statistics and Probability
A set of 52 cards are dealt equally to four players, and you pick up one...
A set of 52 cards are dealt equally to four players, and you pick up one set.
a. Suppose someone asked if you had at least one ace and you truthfully replied yes. What is the probability that your hand contains at least one other ace?
b. Suppose someone asked if you had the Ace of Spades and you truthfully replied yes. What is the probability that your hand contains at least one other ace?
Solutions
orchestra answered 1 year agoRelated Solutions
Four cards are dealt from a deck of 52 cards. (a) What is the probability that...
Four cards are dealt from a deck of 52 cards.
(a) What is the probability that the ace of
spades is one of the 4 cards?
(b) Suppose one of the 4 cards is chosen at
random and found not to be the ace of spades. What is the
probability that none of the 4 cards is the ace of spades?
(c) Suppose the experiment in part (b) is
repeated a total of 10 times (replacing the card looked at...
(1) Two players are each dealt four cards. What is the probability that one of the...
(1) Two players are each dealt four cards. What is the
probability that one of the two players is dealt exactly two aces,
while the other player gets no aces?
(2) Two players are each dealt four cards. What is the
probability that each player is dealt exactly one ace?
You are dealt one card from a deck of 52 cards. What is the probability of...
You are dealt one card from a deck of 52 cards. What is the
probability of drawing the jack of clubs or the three of
diamonds?
You are dealt one card from a full deck of 52 cards and your opponent is...
You are dealt one card from a full deck of 52 cards and your
opponent is dealt two cards (without replacement). If you get a
card between 6 and 10, your opponent pays you 4, and if you get a
King or Queen, your opponent pays you 3. If you don't have a 6-10,
Queen or King, but you have more hearts than your opponent, your
opponent pays you 1. In all other cases you pay 2. What is the...
You are dealt a hand of five cards from a standard deck of 52 playing cards....
You are dealt a hand of five cards from a standard deck of 52
playing cards. Calculate the probability of the given type of hand.
(None of them is a recognized poker hand.)
(a) Mixed royal meeting: One of each type or
royal card (king, queen, jack, ace) of different suites, and a last
non-royal card (neither king, queen, jack or ace).
Enter a formula.
Examples: C(5,3)C(33,3)/C(14,2)
C(5,3)C(33,3)C(4,1)/C(100,100)
(b) Red and black double royal wedding: A red
king, a red...
You are dealt a hand of five cards from a standard deck of 52 playing cards....
You are dealt a hand of five cards from a standard deck of 52
playing cards. Calculate the probability of the given type of hand.
(None of them is a recognized poker hand.)
1. Double royal interracial wedding: Two kings of one color, two
queens of the other color, and a last non-royal card (neither king,
queen, jack or ace).
Solve using a formula.
Examples: C(5,3)C(33,3)/C(14,2) or
C(5,3)C(33,3)C(4,1)/C(100,100)
Assume that 5 cards are dealt at random from a standard deck of 52 cards (there...
Assume that 5 cards are dealt at random from a standard deck of
52 cards (there are 4 suits in the deck and 13 different values
(ranks) per each suit). We refer to these 5 cards as a hand in the
rest of this problem. Calculate the probability of each of the
following events when dealing a 5-card hand at random. (a) Exactly
one pair: This occurs when the cards have numeric values a, a, b,
c, d, where a,...
Suppose you are dealt 5 random cards from a standard deck of 52 cards, where all...
Suppose you are dealt 5 random cards from a standard deck of 52
cards, where all cards are equally likely to appear.
(a) What is your outcome space?
(b) What is the probability that you receive the ace of
hearts?
(c) Let AH be the event that you receive the ace of hearts, AC
the event that you receive the ace of clubs, AD the event that you
receive the ace of diamonds, and AS the event that you receive...
A hand of 13 cards is dealt from a standard deck of 52 playing cards. What...
A hand of 13 cards is dealt from a standard deck of 52 playing
cards. What is the probability that it contains more spades (♠)
than hearts (♡) given that the hand contains at least two
spades?
You pick cards one at a time without replacement from an ordinary deck of 52 playing...
You pick cards one at a time without replacement from an
ordinary deck of 52 playing cards. What is the minimum number of
cards you must pick in order to guarantee that you get a) three of
a kind, and b) three Kings. Use the binomial theorem to expand (2x
+ y)^6. You must illustrate use of the binomial theorem.
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