Question

A card is drawn from a standard deck of cards. Find the following conditional probabilities. (Enter your probabilities as fractions.)

(a) The card is a queen, given that it is a face card????

(b) The card is a king, given that it is a spade. - correct:
1/13

(c) The card is a spade, given that it is a king. - correct:
1/4

Answer #1

.A card is drawn from a deck of 52 playing cards. Find the
following probabilities as fractions. (a) Find the following
probabilities. Pr(heart ∩ red) = Pr(red) = Pr(heart | red) = What
is the probability that the drawn card is a heart given that it is
a red card? (b) Find the following probabilities. Pr(queen ∩ red) =
Pr(red) = Pr(queen | red) = What is the probability that the drawn
card is a queen given that it is...

A card is randomly drawn from a standard deck of 52 playing
cards. If event A is drawing a queen, and event
B is drawing a spade, find the following
probabilities. Express answers as a decimal to the nearest
thousandths.
(a) P(A and B)
(b) P(A or B)
(c) If a spade has been drawn from the deck, what is the
probability of drawing another spade?

Probabilities with a deck of cards. There are 52 cards in a
standard deck of cards. There are 4 suits (Clubs, Hearts, Diamonds,
and Spades) and there are 13 cards in each suit. Clubs/Spades are
black, Hearts/Diamonds are red. There are 12 face cards. Face cards
are those with a Jack (J), King (K), or Queen (Q) on them. For this
question, we will consider the Ace (A) card to be a number card
(i.e., number 1). Then for each...

A card is drawn from a well-shuﬄed deck of 52 cards. Find the
probability of drawing each of the following.
(a) A black card.
(b) A face card.
(c) A black 7 or a red 8.
(d) A spade or a king.

A card is drawn at random from a standard deck of cards . Let A
be the event "card is a spade" and let B be the event "card is a
king". a) Are A & B mutually exclusive ? b)Are A & B
independent ?

Consider the experiment of selecting a playing card from a deck
of playing cards. Each card corresponds to a sample point with a
probability.
a. How many sample points are there in the event that a king is
selected?
b. How many sample points are there in the event that a spade is
selected?
c. How many sample points are there in the event that a face
card ( jack, queen, or king) is selected?
d. Find the probabilities associated...

Two cards are drawn successively from an ordinary deck of 52
well-shuffled cards. Find the probability that a. the first card is
not
a Four of Clubs or an Five;
b. the first card is an King but the second is not;
c. at least one card is a Spade;

The following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

A card is drawn from a standard deck and then replaced. What is
the probability that a face card (Jack, King, or Queen) is drawn at
least one in the first 5 draws?

The following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

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