Five cards are drawn from a standard 52 playing card deck. Find the probability of: a) Straight (5 consecutive enumeration) b) Flush (5 cards of the same suit) c) Exactly two pair d) Exactly 3 of a kind e) A full house (three of a kind and a pair)
4 cards are randomly drawn from a standard deck of playing cards. What is the prob- ability that all their suits are different? Hint: There are 52 cards in a standard deck of playing cards. A card can have 4 different suits: diamond ( ♦ ), club ( ♣ ), heart ( ♥ ), or spades ( ♠ ). There are 13 cards of each suit. Cards are further labeled by their rank: numbers 1 to 10 and three face...
1. A hand of four cards is drawn from a standard deck of 52 playing cards (without re- placement). Determine the probability that the hand contains: (a) four cards of the same value. (e.g. 20, 24, 26, 20). (b) two cards of one value and two cards of another value. (e.g. 3º, 2º, 24, 30) (c) four cards of the same suit. (e.g. 4♡, 2V, AV, K♡). (d) exactly two Queens. (e.g. KV, 36, QO, Qob) (e) exactly three spades....
3. Four cards are to be drawn (no replacement) at random from a standard deck (52 cards). (a) P(All 4 cards will be aces) (b) P(There will be no aces) (c) P(All 4 will be one suit) (d) P(All 4 cards will be same colour: Red or Black) = .
A card is drawn from a standard deck of playing cards. What is the probability that the card is either a 9 or a 107 (Express your answer as a decimal to the nearest thousandths.)
5 cards are drawn at random from a standard deck. Find the probability that all the cards are hearts. Find the probability that all the cards are face cards. Note: Face cards are kings, queens, and jacks. Find the probability that all the cards are even. (Consider aces to be 1, jacks to be 11, queens to be 12, and kings to be 13)
Question:You are randomly dealt 5 cards from a standard deck of 52 playing cards. What is the probability that you have at least 4 cards of the same suit?My solution: 4 [ P(4 of the same suit) ] - because there are 4 different ways to get 4 of the same suit, Clubs, Hearts, Spades and Diamonds.P(4 of the same suit) = (13 C 4 * 39 C 1)/(52 C 5)13 Choose 4 because you have 13 different cards in...
Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a diamond for the second card drawn, if the first card, drawn without replacement, was a heart? Express your answer as a fraction or a decimal number rounded to four decimal places.
Five cards are drawn with replacement from a standard deck of 52 cards consisting of four suits of thirteen cards each. Calculate the probability that the five cards result in a flush (all five cards are of the same suit and round to the fourth decimal)
5 cards are drawn from a standard deck of 52 playing cards. How many different 5-card hands are possible if the drawing is done without replacement?