Question

1- In a standard deck of 52 cards, find the probability of the following

. a) drawing an ace.

b) drawing a red face card.

c) drawing a king, then a seven without replacement.

d) drawing three nines with replacement.

Answer #1

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...

The following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

he following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

A card is drawn from a well-shuﬄed deck of 52 cards. Find the
probability of drawing each of the following.
(a) A black card.
(b) A face card.
(c) A black 7 or a red 8.
(d) A spade or a king.

The following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

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?

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 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)...

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.

A person draws 3 cards without replacement from a standard
52-card deck. Find the probability of drawing exactly two 2, 3, 4,
or 5s.

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