A certain university has 12 vehicles available for use by faculty and staff. Four of these are vans and 8 are cars. On a particular day, only two requests for vehicles have been made. Suppose that the two vehicles to be assigned are chosen at random from the 12 vehicles available. (Enter your answers as fractions.) (a) Let E denote the event that the first vehicle assigned is a van. What is P(E)?   (b) Let F denote the probability that the second vehicle assigned is a van. What is P(F | E)?   (c) Use the results of parts (a) and (b) to calculate P(E ∩ F).

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

A:

Q: Q 1: Let K be the last number of your registration number. Then, in a high schoc graduating class of…

A: Given: K be the last number of registration number . N=Number of students=100 A=Number of student…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A:

Q: #of Occupants 1 2 3 0.70 0.15 0.10 0.03 0.02 What is the mean number of occupants in a vehicle? 45…

A: given data, here data table and their probabilities are given we have to find out the mean for the…

Q: Defective components: A lot of 9 components contains 4 that are defective. Two components are drawn…

A:

Q: Four item are taken at random from a box of 12 items and inspected. The box is rejected if at least…

A:

Q: n. The card is replaced in the pack and B A draws a card from a pack of n cards marked 1, 2, draws a…

A:

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: There are total (3+5+2+3)=13 marbles. She can grab 7 marbles in 13C7=1716 ways.   We first find the…

Q: John has 10 ties (7 are blue and 3 are red) and 4 pairs of shoes (2 brown and 2 black). He selects…

A: Given information: The number of blue ties is n(BT) = 7. The number of red ties is n(RT) = 3. The…

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. What is the probability that the student is in proper uniform? b. A female student is picked at…

A:

Q: 5. The probability that at least one of the events A and B will occur is P(A ∪ B) = P(A) + P(B) −…

A: and

Q: A certain university has 20 vehicles available for use by faculty and staff. Five of these are vans…

A: The information provided in the question are as follows :-and

Q: In a high school graduating class of 120 students glish, 89 studied math, and 55 studied both Englis…

A:

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: A grade 10 board of officers of a school consists of 3 girls and 6 boys. A committee of 5 officers…

A: Total number of students = 9 Number of girls = 3 Number of boys = 6 We need to select exactly 2…

Q: Suppose there are 7 jelly beans in a box-4 red and 3 green. If a jelly bean is selected at random,…

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: Ex.2 in family consist of 4 children account the probability of: a- At least having one child male.…

A: (a)   Obtain the probability of having at least having one child male.   The probability of having…

Q: f there are 19 people in a room, and 1 of them are wearing blue shirts, what is the probability that…

A:

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: The total number of marbles is: N=3+4+3+2=12 Suzan grabs total of n=7 marbles. The probability that…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Two marbles are selected from this bag that contains exactly 4 black and 2 white marbles. The first…

A:

Q: (iv) Are the events 'Korea' and 'Black' Mutually Exclusive? Justify your response. [2] (v) Are the…

A:

Q: In an experiment where 2 balls are drawn successively at random without replacement from a box…

A:

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 green balls, 9 orange…

A:

Q: Statistics grades: In a statistics class of 39 students, there were 11 men and 28 women. Three of…

A:

Q: Suppose in Engineering Data Analysis class, there are 20 Civil and 15 Geodetic engineering students;…

A: Obtain the probability that the student is civil engineering or a male. The probability that the…