Question

We draw one card at a time without replacement from the top of a shuffled standard deck of cards and stop when we draw a Jack of any suit. Let X be the number of cards we have drawn. What is P( X = 8 ) ? Round to two decimals.

Answer #1

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draw 20 cards without replacement from a shuffled, standard deck
of 52 cards. What is P (8th card is heart and 15th is spade)

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.

We are drawing two cards without replacement from a standard
52-card deck. Find the probability that we draw at least one
red card.
The probability is
nothing.

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...

We draw cards, one by one, without replacement, from a deck of
52 cards. Calculate the probability that the first ace will appear
in the k-th draw, if we know that the n-th card was a spade, and
the m-th card was not a club. k=42,m=18,n=4

11.3.47 Q13 Let two cards be dealt successively, without
replacement, from a standard 52-card deck. Find the probability of
the event. The first card is a ten and the second is a jack. The
probability that the first card is a ten and the second is a jack
is

Suppose that from a standard deck of cards you draw three cards
without replacement.
(a) Let X be the number of queens among your three cards. Complete
the probability distribution for X shown below.
X
0
1
2
3
P(X)
(b) What is the expected number of queens that you will draw?

You draw 2 cards from a standard deck of cards without
replacement.
1) What is the probability that the second card is a queen given
that the first card is a jack?
2) What is the probability that the second card is red given
that the first card was a heart?
3) What is the probability that the second card is red given
that the first card is red?

Consider the following
experiment. Four cards are drawn out of a deck with
replacement from a well-shuffled deck of cards. The card
that is drawn out is either a heart or it is not a
heart. After a card is drawn out and recorded it is put
back into the deck and the deck is
reshuffled. Construct the binomial probability
function for x = 0, 1, 2, 3, 4
P(0) =
P(1) =
P(2) =
P(3) =
P(4) =

From a standard deck of cards two cards are chosen without
replacement one at a time. Find the probability of drawing a face
card given that the first card was red.(EXPLAIN)

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