Question

Suppose 2 cards are drawn randomly for a standard 52 card deck.

What is the probability that the second card is a face card (J, Q, or K) when the two cards are drawn without replacement?

I'm stuck on this question, my hint was to draw a tree diagram to calculate the probability.

Answer #2

answered by: anonymous

You randomly shuffle a 52-card deck of cards. We will consider
what happens as we draw 3 cards from the deck to form a sequence of
cards (for a - c) or a set of cards (d).
Answer each of the following questions, showing all relevant
calculations. You should analyze these using tree diagrams, but no
need to show the diagrams in your answer.
(a) Suppose you draw three cards from the deck with replacement;
what is the probability that...

Suppose that two cards are randomly selected from a standard?
52-card deck. (a) What is the probability that the first card is a
club and the second card is a club if the sampling is done without?
replacement? (b) What is the probability that the first card is a
club and the second card is a club if the sampling is done with?
replacement?

Two cards are drawn without replacement from a standard deck of
52 playing cards. What is the probability of choosing a face card
for the second card drawn, if the first card, drawn without
replacement, was a jack? Express your answer as a fraction or a
decimal number rounded to four decimal places.

Suppose two cards are drawn in succession (without replacement)
from a standard deck of cards.
What is the probability that a face card is drawn first? (Enter
your probability as a fraction.)
What is the probability that a face card is drawn second, given
that a face card was drawn first? (Enter your probability as a
fraction.)
What is the probability of drawing two cards in succession
(without replacement) from a standard deck and having them both be
face cards?...

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...

Cards are drawn from a standard 52 card deck. After each card is
drawn, it is put back in the deck and the cards are reshuffled so
that each card drawn is independent of all others. Let N be the
random variable that represents the number of cards that are drawn
before the second appearance of an Ace. For example, if the
sequence of cards drawn was {2, 5, K, 7, A, 5, 3, J, A, ...} then N
would...

suppose you draw two cards (a sequence) from a standard 52-card
deck without replacement.
Let A = "the first card is a spade" and B = "the second card is
an Ace." These two events "feel" (at least to me) as if they should
be independent, but we will see, surprisingly, that they are not. A
tree diagram will help with the analysis.
(a) Calculate ?(?)
(b) Calculate ?(?)
(c) Calculate ?(?|?)
(d) Show that A and B are not...

Two cards are drawn from a regular deck of 52 cards, without
replacement. What is the probability that the first card is an ace
of clubs and the second is black?
Answer:
A card is drawn from a regular deck of 52 cards and is then put
back in the deck. A second card is drawn. What is the probability
that:
(a) The first card is red.
(b) The second card is hearts given that the first is red.
(c)...

Two cards are drawn without replacement from a well shuffled
deck of cards. Let H1 be the event that a heart is drawn first and
H2 be the event that a heart is drawn second. The same tree diagram
will be useful for the following four questions. (Note that there
are 52 cards in a deck, 13 of which are hearts)
(a) Construct and label a tree diagram that depicts this
experiment.
(b) What is the probability that the first...

One card is randomly drawn from a standard deck of 52 cards as
shown in the figure below. Using the sample space for drawing a
single card from this deck, find the probability that the card is a
king or a black card. Give your answer as a reduced fraction.

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