Question

Please Explain!

Two cards are dealt uniformly at random from an ordinary deck of 52 cards.

a. What is the probability that both cards are aces and one of them is an ace of spades?

b. What is the probability that at least one of the cards is an ace?

Answer #1

Problem 31: Two cards are dealt from an ordinary deck of 52
cards. This means that two cards are sampled uniformly at random
without replacement.
a What is the probability that both cards are aces and one of
them is the ace of spaces?
b What is the probability that at least one of the cards is an
ace?

Two cards are dealt from a standard deck of 52 cards. Find the
probability of getting:
(a) A face card, followed by the ace of spades?
(b) At least one red card?

Seven cards are dealt from a deck of 52 cards.
(a) What is the probability that the ace of spades is one of
the 7 cards?
(b) Suppose one of the 7 cards is chosen at random and found
not to be the ace of spades. What is the probability that none of
the 7 cards is the ace of spades?
(c) Suppose the experiment in part (b) is repeated a total of
10 times (replacing the card looked at...

1. Suppose that 5 cards are dealt from a standard deck of 52
cards. What is the probability that one of those cards is the Ace
of Spades?

An ordinary deck of playing cards (containing 52 standard cards)
is randomly divided into two parts, each containing at least one
card.
(a) What is the probability that each part contains at least one
ace.
(b) Find the probability that each part contains exactly two
aces.

(52 cards) Five cards are dealt from a shuffled deck. What is
the probability that the 5 cards contain: 1) exactly one ace 2) at
least one ace

3 )One is dealt 6 cards from a standard poker deck of 52
cards.
a)What is the probability of getting 3 aces and 3 kings?
b)What is the probability of getting the same except both pairs
kings and aces are of the same suit (e.g., the same suit is missing
from both).

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?

Two cards are successively dealt from a deck of 52 cards. Let A
be the event “the first card is a king” and B be event “the second
card is a ace.” Are these two events independent?

Cards are dealt by drawing uniformly at random from a deck of
cards without replacement until the first ace appears. What is the
chance that at most 3 deals are required given that at most 6 deals
were required?

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