Question

Question 8: Consider a complete deck of 52 cards, not including Jokers.

In such, an Ace=1, a King=13, a Queen=12 and a Jack=11. All other cards are equal to face value. Assume that the value of a card drawn from the deck is a random variable, X.

a. What is the probability distribution of X?

b. What is the mean of X?

c. What is the variance of X?

d. What is the standard deviation of X?

Answer #1

A deck of cards has 52 cards with 4 suits (Hearts, Diamonds,
Spades, and Clubs) and 13 cards in each suit (Ace thru 10, Jack,
Queen, and King; the last three are considered face cards). A card
is drawn at random from a standard 52-card deck. What
is the probability that the card is a number card given the card is
black (Spades and Clubs)?
Group of answer choices
6/26
1 - 10/26
20/52
10/13

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...

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...

An experiment consists of selecting a card from a standard deck
of 52 cards, noting whether or not the card is an Face Card (Jack,
Queen or King) and returning the card to the deck. This experiment
is repeated 10 times. Let X be the random variable representing how
many times out of the 10 you observe a Face Card.
Suppose that you repeat the experiment 5070 times. Let Y be the
random variable representing the number of Face Cards...

Suppose that we draw two cards from a standard deck of 52
playing cards, where ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen
and king each appear four times (once in each suit). Suppose that
it is equally likely that we draw any card remaining in the
deck.
Let X be the value of the first card, where we count aces as 1,
jacks as 11, queens as 12, and kings as 13. Let Y be...

Consider a standard deck of 52 playing cards. Each part of 19
and 20 is worth 3 points, while 21 is worth 10 points.
19. (a) How many three-card hands are possible?
(b) How many three-card hands consisting only of face cards
(jack, queen, king) are possible?
20. (a) How many five-card hands consisting entirely of hearts
are possible?
(b) How many three-card hands consisting only of face cards
(jack, queen, king) are possible?

As shown above, a classic deck of cards is made up of 52 cards,
26 are black, 26 are red. Each color is split into two suits of 13
cards each (clubs and spades are black and hearts and diamonds are
red). Each suit is split into 13 individual cards (Ace, 2-10, Jack,
Queen, and King).
If you select a card at random, what is the probability of
getting:
1) A(n) 8 of Heart s?
2) A Club or Spade?...

As shown above, a classic deck of cards is made up of 52 cards,
26 are black, 26 are red. Each color is split into two suits of 13
cards each (clubs and spades are black and hearts and diamonds are
red). Each suit is split into 13 individual cards (Ace, 2-10, Jack,
Queen, and King).
If you select a card at random, what is the probability of getting:
(Round to 4 decimal places where possible)
a) A 9 of...

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