Combinatorics - math word problems - page 51 of 55
Number of problems found: 1084
- Overbooking flight
A small regional carrier accepted 12 reservations for a particular flight with 11 seats. Seven reservations went to regular customers who would arrive for the flight. Each remaining passenger will arrive for the flight with a 49% chance, independently of - Rectangle
In a rectangle with sides, 8 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than any side of the rectangle? - The test
The test contains four questions, with five different answers to each of them, of which only one is correct, and the others are incorrect. What is the probability that a student who does not know the answer to any question will guess the right answers to - Probability
A restaurant always takes an inventory at the cash register at the end of the day so that the employees can divide their tips. It has been found that the daily tips follow a normal distribution with a mean of €130 and a standard deviation of 60. What is t - Wimbledon finals
Serena Williams made a successful first serve 67% of the time in a Wimbledon finals match against her sister Venus. If she continues to serve at the same rate the next time they play and serves six times in the first game, determine the probability that: - Probability - test
The test contains 11 questions, each question has 4 options (only one correct). Find the probability that less than 2 questions will be answered correctly. (The probability of a correctly answered question is 1/4.) (Write the result as a whole number in p - Covid-19
Data showed that 22% of people in a small town were infected with the COVID-19 virus. A random sample of six residents from this town was selected. Find the probability that exactly two of these residents were infected. - Six questions test
There are six questions in the test. There are three answers to each - only one is correct. To take the exam, students must answer at least four questions correctly. Alan didn't learn, so he circled the answers only by guessing. What is the probability th - Alarm clock
The old watchmaker has a unique digital alarm in its collection that rings whenever the sum of the alarm's digits equals 21. Find out when the alarm clock will ring. What is their number? List all options. - Probability 38041
Seven women and 3 men work in one office. According to the new regulation, reducing the number of employees by three is necessary. In a random sample of employees, what is the probability that they will be fired: a. One woman and two men b. At least one w - Distribute 70244
We have to distribute the keys to the safe among four people so that no two of them can open the safe but in such a way that any three can open the safe. How many minimum keys do we need? How to divide them? How many minimum locks must be on the safe? All - Lines
How many points will intersect 27 different lines where no two are parallel? - Probability
A man had 4 coins, some $2, some $1. The coins had a number on one side and a picture on the other. The man flipped them, and the sum of the numbers on the tops of the coins was 1. The probability of this happening was 1/8. What was the probability that i - The shooter
The shooter shoots at the target, assuming that the individual shots are independent of each other and the probability of hitting them is 0.2. The shooter fires until he hits the target for the first time, then stops firing. (a) What is the most likely nu - Boys and girls
There are 11 boys and 18 girls in the classroom. Three pupils will answer. What is the probability that two boys will be among them? - Probability 69914
During the exam, each student receives 30 different questions, from which he chooses 3 at random. To pass the exam, he needs to be able to answer two correctly. What is the probability that a student will pass if he mastered 70% of the questions (70% of t - Probability - tickets
What is the probability when you have 25 tickets in 5000 that you do not win the first (one) prize? - Population variance
60% of students at a California community college will transfer to a college in the CSU system. The number of students in a sample who will transfer follows a binomial distribution. If eight students are randomly selected, find the population variance σ² - Playing cards
From 32 playing cards containing eight red cards, we choose four cards. What is the probability that just two will be red? - Manufacturer 80810
The manufacturer indicates that the germination rate of the pepper seeds is 68%. What is the probability that a) out of ten seeds sown, at least 8 will germinate? b) will at most 3 sprouts out of ten seeds be sown?
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