2. In a probability theory class, there are 4 women and 6 men. The students take a test, and the results are used to determine their ranking. Consider that no two students will receive the same grade. (a) How many different rankings are possible? (b) If the men are ranked just among themselves and the women among themselves, how many different rankings are possible?

Q: 2. At a social gathering n individuals wish to play a game. Each individual places their mobile…

A:

Q: The pool of students in a calculus class consist of 22 sophomore and 8 freshmen. If seven students…

A: Let the students of sophomore year be denoted by S and freshmen be denoted by F.   Given: Number of…

Q: You have two fair coins and a biased coin in a bag. The probability for heads showing up on a toss…

A: Given data: The numbers of fair coins are f=2. The number of biased coins is b=1. The probability of…

Q: For this problem, assume the box contains 5 mango balls, 4 aqua balls, and 7 gold balls, and that we…

A: Let A be the event that the chosen balls are not mango balls. Let B be the event that the chosen…

Q: A room contains 25 people who would respond differently to a yes/no question, if asked. Room: • 25…

A: There was a total of 25 peopleA sample of 9 people was drawn without replacement.It is needed to…

Q: A hat contains 25 Red slips of paper and 29 Yellow slips of paper (and nothing else). Two slips are…

A: Total number of slips is 25+29 =54. It is known that hat contains 25 red and 29 yellows slips. The…

Q: A couple plans to have three children. Find each probability? a) Of all boys. b) Of all girls or all…

A: According to our answering guidelines, we can answer only three subparts of a question and the rest…

Q: A family has n children. We pick one of them at random and find out that she is a girl. What is the…

A: Given: Sample Sizen=nProbability of a girlp=0.5 Since probabilities of boys and are equally likely.…

Q: A hat contains 25 Red slips of paper and 29 Yellow slips of paper (and nothing else). Two slips are…

A: According to the provided information,  Red slips of paper = 25 Yellow slips of paper = 29 Total…

Q: professor kafka teaches an advanced probability class, with an enrollment of 11 students. the front…

A: The objective of this question is to find out the number of ways the students can be seated in the…

Q: Suppose you shuffle a standard deck of cards (with 52 cards), and then divide it into 2 stacks. Then…

A:

Q: Of the 50 automobiles in a used car lot, 10 are silver. If 5 automobiles are selected to be sold at…

A: 20) According to the given information,Total number of automobiles, N= 50Number of automobiles are…

Q: Suppose you shuffle a standard deck of cards (with 52 cards), and then divide it into 2 stacks. Then…

A: Probability             Probability is deals with the random occurrence of events is…

Q: Two cards are randomly selected from a deck of 52 cards. (a) Given that the two cards have different…

A: Total number of cards in a deck = 52Two cards were randomly selected from the deck.The total number…

Q: For this problem, assume the bag contains 11 basketballs, 5 of which have defective valves. You…

A: Given, The bag contains 11 basketball out of which 5 have defective valves. Therefore, the…

Q: A math class consists of 25 students, 14 female and 11 male. Three students are selected at random…

A: There are 25 students,14 female and 11 male.Probability that first student being maleWe have to…

Q: b) A Heart or Spade? (Please enter a reduced fraction.)

A: (b) P(getting a heart or spade) = P(getting a heart) + P(getting a spade)…

Q: (3) A company employs 6 men and 4 women. Three people are selected at random to attend a conference.…

A:

Q: For this problem, assume the box contains 8 white balls, 5 blue balls, and 4 red balls, and that we…

A: Number of white balls is 8. Number of blue balls is 5. Number of red balls is 4.