Among 500 freshmen pursuing a business degree at a certain university, 320 are enrolled in an economics course, 225 are enrolled in a mathematics course, and 140 are enrolled in both an economics and a mathematics course. What is the probability that a freshman selected at random from this group is enrolled in an economics course and/or a mathematics course? exactly one of these two? neither an econ nor a math course?

Q: If you pick a card at a random from a wheel shuffle, standard deck of playing cards, what is the…

A: A card is picked from well shuffled standard deck of playing cards Total no. of cards in a standard…

Q: Four fishermen are chosen at random. What is the probability that at least two of them were born on…

A: Sample space,S : All outcomes of four fisherman birthdays in the week.Event A,F : No one has same…

Q: Four persons are sitting at a rectangular table. What is the probability that the two older people…

A: From the given information we find the probability.

Q: One jar holds 20 green marbles and 4 white marbles. A second jar holds 60 black marbles and 20 white…

A:

Q: An office receives 20 faxed orders every two hours. What is the probability that it will receive 8…

A: Given: Number of order every two hours = 20 So, number of orders every hour = 202=10 Let X be the…

Q: What is the probability that both of the selected students received a grade of A

A: Given, Total students = 10 Students received an A on the last examination = 5 Let n be the total no.…

Q: Three cards are drawn in succession from a deck without replacement. What is the probability that…

A:

Q: There are three classes, each consisting of 20 students. From this group of 60 students, a group of…

A: From the provided information, There are 3 classes and each class consists of 20 students. From this…

Q: To make a 750 piece jigsaw puzzle more challenging, a puzzle company includes 5 extra pieces in the…

A: Probability of an event is defined as total favorable outcome divided by total possible outcome.…

Q: What is the probability that a student chosen randomly from the class does not have an A?

A: The given information can be described as   Male Female Total A 3 12 15 Not A 2 4 6   5 16…

Q: the first card is a club and the second is a red card?

A: Here total cards in deck = 52 Here use basic probability  Probability = # Favorable outcome/# total…

Q: In a large city there are an average of 02 fires per year. What is the probability that next year…

A: Solution: Let X be the number of fires per year. From the given information, average number of fires…

Q: A traffic light at a certain intersection is green 50% of the time, yellow 10% of the time, and red…

A:

Q: Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the…

A: We have to Find the probability that both the cards are black....

Q: 75% of the students are commuters, 45% are female, and 30% are female commuters. If selected at…

A: Consider the following events, C=selected student is a commuterF=selected student is a female Given…

Q: Two cards are randomly selected from a deck of 52 cards. What is the probability that the two cards…

A: Given two cards are randomly selected from a deck of 52 cards. We have to find the probability that…

Q: A couple has two children. What is the probability that both are girls if the older of two is a…

A: The couple has two children.

Q: A bag contains three black balls, three red balls, and three gold balls. If you pick two balls at…

A: A bag contains three black balls, three red balls, and three gold balls. So, the total number of…

Q: A single card is selected from a deck of playing cards what is the probability that the card is not…

A:

Q: A group of 20 university students contains 8 who are in their first year of study. A student is…

A: Given,Total no.of university students=20no.of universities who are in their first year of study=8

Q: Three rock bands and three rap groups are performing a show. What is the probability that a rock…

A: The question is about probability.Given :No. of rock bands = 3No. of rap groups = 3

Q: 4. Teddy lives life on the edge and gets dressed randomly every morning. This morning, he is…

A: Number of black shoes is 2. Number of brown shoes is 3. Number of black pant is 3. Number of brown…

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

Q: peope probac ebrate their birthdays on the same month of th 0.23 0.57 0 64

A: As there exist 12 months in a year and there are 3 people in the room- all possible cases = 123 =…

Q: Billy randomly selects a card from a standard deck. The probability of him selecting a king or a…

A: We have given that the Billy randomly selects a card from a standard deck. The probability of him…

Q: A class of 20 juniors, 30 seniors, and 10 graduate students makes up an advanced physics class.…

A:

Q: A class of 25 students is taking a course in Western Civilization on a​ pass/fail basis. The course…

A: Define the random variable x as the number of students that will pass the course. Here, the number…

Q: Assume that 65 percent of the students at the university have taken 4 years of high school math. Of…

A:

Q: A shop has 72 customers in two hours . What is the probability that at most three customers will go…

A: There are 72 customers in 2 hours (120 minutes). So, average number of customers in a minute =…

Q: YYou go to a party which has1000 guests (including you). What is the probability that exactly one…

A: There are total 1000 guests.  My birthday is known to me. So there is only 1 way for my birthday.…

Q: One bag contains 4 white balls and 3 black balls, and a second bag contain 3 white balls and 5 black…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: Five items are selected from a box of 15 items and inspected. The box is rejected if more than two…

A: If we have n trials each having two outcomes, say Success and Failure, trials being independent and…

Q: Assume that at the airport security check, 60% of all passengers are selected for a random bag…

A: Given that p = 60% = 0.60 n = 10 X ~Binomial(n, p) X ~ Binomial (10, 0.60)The PMF of the Binomial…

Q: In a class of 29 students, 10 are female and 20 have an A in the class. There are 2 students who are…

A: In a class of 29 students, 10 are female  20 have an A in the class  2 students who are male and do…

Q: Rainfalls occur randomly and independently over the course of Metro manila. The average is 6…

A: Given that  The average rainfall every month=6 X~Poisson(λ=6)

Q: Suppose that you want to collect eight toy boats (all of the same kind) which are included in one…

A: According to the given information, there are eight toy boats that are needed to be collected. And,…