Question

I choose a card at random from a well-shuffled deck of 52 cards. There is a 1/4 probability that the card is chosen is a spade, a 1/4 probability that the card is a heart, a 1/4 probability that the card is a diamond, and a 1/4 probability that the card is a club. Both spades and clubs are black cards, whereas hearts and diamonds are red. What are the events of the card is a heart and a card is a club?

Please discuss how you derived the result.

Answer #1

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...

In a standard deck of 52 playing cards there are 4 suits: clubs,
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Identify the correct experiment,
trial, and outcome below:
Select all that apply:
The experiment is dealing a card.
The experiment is identifying whether a player
has been dealt a club, diamond, heart, or spade.
A trial is the dealing of one card.
The trial is...

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 drawn successively from an ordinary deck of 52
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not
a Four of Clubs or an Five;
b. the first card is an King but the second is not;
c. at least one card is a Spade;

A card is drawn from a well-shuffled deck of 52 playing cards.
What is the probability that it is a queen or a heart?

A standard 52 card deck is being used in an exciting experiment!
A card is drawn randomly from the deck, its
information is recorded, then the card is returned to the deck
and it is thoroughly shuffled.
(a) Determine the probability that if we perform this process 6
times, we get exactly 3 diamonds, and exactly 1 spade.
(b) If we repeat this experiment 11 times, what is the
probability that we get three times as many clubs as hearts....

7.
A standard 52 card deck is being used in an exciting experiment!
A card is drawn randomly from the deck, its
information is recorded, then the card is returned to the deck
and it is thoroughly shuffled.
(a) Determine the probability that if we perform this process 6
times, we get exactly 3 diamonds, and exactly 1 spade.
(b) If we repeat this experiment 11 times, what is the
probability that we get three times as many clubs as...

Consider the following card game with a well-shuffled deck of
cards. If you draw a black card,
you lose $10. If you get a diamonds, you win $5 and if you get a
heart, you win $10. If you get any
ace, you plus an extra $25 to what you got based on the color
and category card (for example,
if you get a spade ace, you got $25 ? $10 = $15, or a diamond
ace, you got $25...

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...

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