There are two smaller problems in this one. First, is the fraction formed by the probabilities of the cards desired, then also there's the permutations of this fraction. Multiplying them together gives the total probability.
The permutations of the clubs and hearts in the hand are 4 + 3 + 2 + 1 = 10. Just for justification, there is (CCHHH), (CHCHH), (CHHCH), (CHHHC), (HCCHH), (HCHCH), (HCHHC), (HHCCH), (HHCHC), (HHHCC). So:
P(two clubs, three hearts) = 10 * (13 * 12 * 13 * 12 * 11) / (52 * 51 * 50 * 49 * 48) = 10 * (2432111132) / (29325272131171) = (11 * 13) / (16 * 5 * 49 * 17) = 143/66,640
Since hearts and clubs consist of 1/2 of the deck of cards, the probabilility of getting hearts or clubs on a single pick from a well shuffled standard deck of cards is 1/2.
There are 13 clubs in a standard deck. (There are 13 hearts, 13 diamonds, and 13 spades, too.)
(13x12x11x13x12)/ (5x4x3x2x1) = 1859
There is only one ace of hearts, but there is also an ace of clubs, an ace of diamonds and an ace of spades.
4, one in each suit (Hearts, Diamonds, Spades, Clubs.)
Since hearts and clubs consist of 1/2 of the deck of cards, the probabilility of getting hearts or clubs on a single pick from a well shuffled standard deck of cards is 1/2.
There are four suits in a standard deck of cards: spades, hearts, diamond and clubs. Spades and clubs are black, hearts and diamonds are red.
There are 13 clubs in a standard deck. (There are 13 hearts, 13 diamonds, and 13 spades, too.)
(13x12x11x13x12)/ (5x4x3x2x1) = 1859
It's because the markings used to denote any hearts card are themselves shaped like hearts. A more interesting question is,"Why were the sumbols of hearts, diamonds,clubs and spades chosen?"
There is only one ace of hearts, but there is also an ace of clubs, an ace of diamonds and an ace of spades.
There are four jacks in a standard deck of 52 playing cards. There is a jack in each suit: spades, hearts, diamonds and clubs. Each jack has a different appearance and is in a different pose.
4, one in each suit (Hearts, Diamonds, Spades, Clubs.)
Each suit has 13 cards. There are 4 suits: hearts, diamonds, clubs, and spades. Hearts and diamonds are the red suits. Clubs and spades are the black suits. There are 26 black cards in a standard deck.
In a standard 52-card pack there are 13 'club' cards.
13 - There are 52 cards in a standard deck of cards. A standard deck includes 4 different suits, each total 13. So we have 13 Clubs, 13 Hearts, 13 Diamonds 13 Spades. All suits are ranked the same from Ace to deuce. Suits also can be ranked highest to lowest - Spades, Diamonds, Hearts, Clubs.
hearts,clubs,diamonds,spades