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How many ways are there to choose 3 cards from a standard deck of 52 cards if all three cards must be of different suits assume that the order of the cards does not matter?

How many ways are there to choose 3 cards from a standard deck of 52 cards if all three cards must be of different suits assume that the order of the cards does not matter?

1 Expert Answer To answer a), we note that there 52 ways to choose the first card, 51 ways to choose the second card, and 50 ways to choose the third card, for a total of 52*51*50=132,600 ways.

What is the probability of picking a 3 out of three suits of cards?

Find the probability of drawing 3 clubs from a shuffled, standard deck of cards: The probability is the number of possible ways to draw 3 clubs divided by the total number of 3 card draws. The required probability is 11/850.

How many suit cards are the same?

13 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) – Without replacement means the card IS NOT put back into the deck.

How many ways can three of the same card be selected from the deck?

(b) We have 13 possible denominations for the three of a kind. Thus there are 52 ways to select the of the same card.

What is the way of choosing 3 cards from a standard 52 cards deck with and without replacement?

Correct answer: Therefore we have 52 * 52 * 52 ways of choosing 3 cards with replacement. Thus there are 52 * 51 * 50 ways of choosing 3 cards without replacement.

How many ways are there to choose 2 cards from a standard deck?

There are 2,652 ways to pick two cards at random from a deck of 52 cards without replacing the first card before choosing the second card.

How do you solve a probability card problem?

You can use the following steps to calculate the probability: Step 1: Identify the number of favourable events. Step 2: Find the total number of results that can occur. Step 3: Divide the number of favourable events by the total number of possible outcomes.

What do the different suits of cards mean?

The four suits can also be read as symbols of society and human energy: clubs representing both the peasantry and achievement through work; diamonds, the merchant class and the excitement of wealth creation; hearts, the clergy and the struggle to achieve inner joy; spades, the warrior class institutionalised into the …

How many ways can two of the same card be selected from the deck?

How many ways are there to choose three cards from a standard 52 card deck without choosing any kings?

52*51*50 = 132,600 ways.

How many cards are in a pack of 52 playing cards?

In a pack or deck of 52 playing cards, they are divided into 4 suits of 13 cards each i.e. spades ♠ hearts ♥, diamonds ♦, clubs ♣. Cards of Spades and clubs are black cards. Cards of hearts and diamonds are red cards. The card in each suit, are ace, king, queen, jack or knaves, 10, 9, 8, 7, 6, 5, 4, 3 and 2.

What happens when the face up cards are equal?

If the new face-up cards are equal as well, the war continues: each player puts another card face-down and one face-up. The war goes on like this as long as the face-up cards continue to be equal. As soon as they are different the player of the higher card wins all the cards in the war.

How many cards are in war for two players?

War for two players. In the basic game there are two players and you use a standard 52 card pack. Cards rank as usual from high to low: A K Q J T 9 8 7 6 5 4 3 2. Suits are ignored in this game. Deal out all the cards, so that each player has 26. Players do not look at their cards, but keep them in a packet face down.

How many face cards are in a deck of 52 cards?

King, Queen and Jack (or Knaves) are face cards. So, there are 12 face cards in the deck of 52 playing cards.