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) An 8 of Spades? b) A Spade or Heart? c) A number smaller than 2 (counting the ace as a 1)? Ne

Q: What is the probability of rolling a 3 on a number cube and choosing a heart from a deck of cards?

A: Recall:  P(A and B)=P(A∩B)=P(A)×P(B)

Q: If two cards are drawn without replacement from an ordinary​ deck, find the probability of a king…

A:

Q: If you were to select one card randomly from a single deck of 52 card what is the probability of…

A:

Q: I loaded my dice so that the chance of a 1 is 0.1, the chance of a 6 is 0.2, and the chances of the…

A: Given information: Chance of a 1 = 0.1 Chance of a 6 = 0.2 Chance of a 2 = Chance of a 3 = Chance of…

Q: William is playing cards. What is probability of pulling an 8 of spades, 10 of diamonds, or heart?

A: given data  william play a  card game select card at random.  P(8 of spades,10of diamonds or heart…

Q: A jar contains 10 red marbles, 6 green marbles, and 13 blue marbles. What is the probability that…

A: Given A jar contains 10 red marbles, 6 green marbles, 13 blue marbles.

Q: One card is selected from a well – shuffled deck of 52 cards. Find the probability of get (i) a jack…

A: Total number of cards =  52 = n(S)

Q: Think of 12 face cards (four kings, four queens, and four jacks) from the four suits. What is the…

A: We have to find given probabilities

Q: From a set of bridge cards, 2 cards are drawn at random. What are the chances of getting an ace and…

A:

Q: A five-card poker hand is dealt from a standard deck of cards.  Find the probability of getting 2,…

A: There are 52 cards in a standard deck of cards. We can pick 5 cards from 52 cards in 52C5 ways.…

Q: 7 total students and 20 total faculty to pick from. You want to have 10 total people on the…

A: Given data: Total number of students = 7 Total number of faculty = 20 Number of people to be…

Q: A set of 8 cards contains 1 joker. A and B are 2 players and A chooses 5 cards at random, B taking…

A: From the provided information, Total cards = 8 Total number of ways in which A could select any of…

Q: As shown above, a classic deck of cards is made up of 52 cards, 4 suits with clubs and spades black…

A: From the provided information, Total cards = 52 Total cards of 5 number = 4 Total cards of 8 number…

Q: Billy selects some cards from a standard 52 card deck.  What is the probability that he selects 1…

A: Given data: The total numbers of cards in the playing deck are n=52. The numbers of hearts are h=13.…

Q: probability of picking a(n) 3 of Clubs

A: Given that  A classic deck of 52 cards Number of spades = 13  Number of clubs = 13 Number of…

Q: A lock consists of 2 dials, where each dial has 4 letters. What is the probability of guessing the…

A: Experiment : Guessing the combination Event: Guessing the right combination.

Q: Let X₁, X2, X3, be a r. s. from normal distribution with mean 0 and variance 1, let the prior…

A:

Q: There is a jar of coins sitting on the table in the center of the room. The jar contains 9 pennies,…

A: given data   jar contains : 9 - pennies    1 cent 12 - nickles  - 5 cent 10 - dimes  - 10 cent 5 -…

Q: A slot machine has 3 dials. Each dial has 30 positions,one of which is "jackpot". To win the jackpot…

A: We need to recall that odds of winning the jackpot is given by: probability of winning the…

Q: A researcher wants to see if police officers’ enthusiasm for their jobs changes after having endured…

A: The objective of the question is to identify the appropriate statistical test to compare the job…

Q: m a deck and observe what suit it is.       Enter answer as a reduced fraction or a decimal rounded…

A: To find:  a ).The probability of drawing a heart or diamond b).The probability of drawing a king or…

Q: A city council consits of five Democrats and five Republicans. If a committee of six people is…

A: Basics:

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.