Question

Consider a standard 52-card deck. If you draw 25% cards from the deck without replacement.

What is the probability that your hand will contain one ace?

What is the probability that your hand will contain no ace?

Answer #1

25% of the cards means 13 cards are being drawn out.

a) Probability that the hand will contain one ace is computed here as:

= Number of ways to get one ace from 4 aces * Number of ways to select 12 cards from remaining 48 cards / Total number of ways to get 13 cards from 52 cards

**Therefore 0.4388 is the required probability
here.**

b) Probability that there is no ace in the set of cards selected
is computed here as:

= Number of ways to select 13 cards from the 48 non ace cards /
Total number of ways to get 13 cards from 52 cards

**Therefore 0.3038 is the required probability
here.**

Draw three cards from a standard 52 cards deck without
replacement. What is the probability of having an Ace in those
three cards- given you got all three different rank
cards.

You are choosing three cards at random from a standard 52-card
deck without replacement. What is the probability that at most one
is a Heart?

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

Given a standard 52 card deck with 13 cards of each suit, the
probability you draw (without replacement) the Ace of Spades and
then the Queen of Hearts is aproximately?

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.

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

From a standard deck of 52 playing cards:
Draw 3 cards without
replacement.
Find the probability that you get at least one red
card.
(Due to rounding, select the best answer)
Group of answer choices
0.22
0.50
0.79
0.88

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 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.

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