Question

A person draws 3 cards without replacement from a standard 52-card deck. Find the probability of drawing exactly two 4 , 5 ,6 , or 7s.

Answer #1

Sam is going to repeatedly select cards from a standard deck of
52 cards with replacement until he gets his 5th heart card.
Let Y be the number of cards he is drawing.
Let X1 be the number of spot cards (2, 3, 4, 5, 6, 7, 8, 9, 10) he
draws,
X2 be the number of face cards (Jack, Queen and King) he
draws,
and X3 be the number of aces he draws.
Find the JOINT PROBABILITY MASS FUNCTION...

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)

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.

You are dealt two cards successively without
replacement from a standard deck of 52 playing cards.
Find the probability that the first card is a king and the
second card is a queen.
I want the probability that both events will
occur. I do not want the probability of each
event.

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?

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?

Cards are dealt, without replacement, from a stadnard 52 card
deck. If the first 2 cards are both spades, what is the probability
that the next 3 cards are diamonds?

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...

Two cards are selected with replacement from a standard deck of
52 cards. Find the probability of selecting a spade and then
selecting a heart.
0.0625
0.0637
0.0588
0.0250

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