3)a) P(All cards will be aces) = 4C4/52C4

= 0.000004
b) P(There will be no aces) = 48C4/52C4

= 0.718737
C) P(All 4 will be one suit) = 4 * 13C4/52C4

= 0.010564
d) P(All cards will be same colour) = 2 * 26C4/52C4

= 0.110444
3. Four cards are to be drawn (no replacement) at random from a standard deck (52...
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)
Consider the random experiment in which one card is drawn from a standard deck of 52. Let RED be the event that a red card (hearts or diamonds) is drawn, BLACK be the event that a black card (clubs or spades) is drawn, EVEN means an even numbered card is drawn (2, 4, 6, 8 or 10); ODD means an odd numbered card is drawn (3, 5, 7 or 9 - aces not included); COURT means a court card (jack,...
Two cards are drawn without replacement from a standard deck of 52 52 playing cards. What is the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a spade? Express your answer as a fraction or a decimal number rounded to four decimal places.
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....
A deck of cards has 4 suits and 13 denominators. A full deck contains 52 cards A single card has three characteristics: suit, denomination and colour, for example a king of red hearts. (a) 7 cards are drawn from 52, without replacement. Let ? be the number of ♢ 's drawn. What is the standard deviation of ?,??[?]=? (b) 28 cards are drawn from 52, with replacement and the number of ♣'s drawn is at most 11 but at least...
2. Consider a standard 52 card deck of playing cards. In total there are four cards that are Aces, four cards that are Kings, four cards that are Queens and four cards that are Jacks. The remaining 36 cards are four each of the numbers 2, 310. That is there are four cards that are twos, four cards that are threes etc. For this question, suppose that we reduce the number of cards in the deck by removing one of...
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...
Two cards are drawn from a standard deck of cards without replacement. Find the probability for the following: a.) P(selecting a diamond OR a red card) b.) P(selecting a face card OR a card less than 10) c.) P(selecting a black card OR a card that has a number that is a multiple of 3)
Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a club and then, without replacement, a black card? Write your answer as a fraction or a decimal number rounded to three decimal places.
Here is a table showing all 52 cards in a standard deck. Face cards Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Color Red Hearts A23 5 6 7 s 9v 10K Red DiamondsA 2 4. 5. 6 10J Black Spades Ae 2 3e Se e e 9e 10 Je Ke Suppose one card is drawn at random from a standard deck Answer each part. Write your answers as fractions. (a) What is the...