Probability - math word problems - page 16 of 26
Number of problems found: 507
- Circle line probability
A rectangular grid consists of two mutually perpendicular systems of parallel lines with a distance of 2. We throw a circle with a diameter of 1 on this plane. Calculate the probability that this circle: a) overlaps one of the straight lines; b) do any of - 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 - Specialist hiring probability
A private company will hire two IT specialists. Tomáš is among the five registered candidates. What is the probability that he will not be accepted? - Probability
In a batch of 500 products, there are 10 rejects. In a statistical inspection, 40 products are checked, which are randomly selected from a batch, and the selection is made without repetition. The batch is considered satisfactory if there is at most one de - Hospital death probability
Statistically, in a city of 100,000 inhabitants, 600 people die in one year. During the year, 2,000 people received hospital treatment, and 120 of them died there. Calculate the probability that a citizen who comes to the hospital for treatment will die t - Scrap probability Five hundred of the products in the series are to be inspected with a repeat check. The manufacturer guarantees 2% scrap for a given production. Determine the probability of scraps among the 500 products reviewed between 12 and 20.
- Probability of failures
The probability of failure in specific productions is 0.01. Calculate the likelihood of more than one failure among the 100 selected products if we return them to the file after the check. - Birthday paradox
How large is the group of people so that the probability that two people have a birthday on the same day of the year is greater than 90%? - Lifespan
The lifetime of a light bulb is a random variable with a normal distribution of x = 300 hours, σ = 35 hours. a) What is the probability that a randomly selected light bulb will have a lifespan of more than 320 hours? b) To what value of L hours can the la - Component failure probability
The daily product consists of 1000 components, and the probability of failure of any component during the use of the device is 0.001. It does not depend on other components. What is the probability of failure of two components in the investigated period o - Homework probability
Today, one-fifth of 30 students still need to complete a homework assignment. What is the teacher's probability of randomly selecting a pupil with homework during the check? - All use computer
It is reported that 72% of working women use computers at work. Choose three women at random, and find the probability that all three women use a computer in their jobs. - Average height
There are twice as many girls in the class as there are boys. The average height of girls is 177 cm, and boys 186 cm. What is the average height of students in this class? - Gold, silver, bronze
How many ways can we divide gold, silver, and bronze medals if six people compete? - The manufacturer
The manufacturer found that 3% of the plates produced had a malfunction. Of the complaint, 75% are first and 25% second. What is the probability of producing first and second-class plates? - Probability
How probable is a randomly selected three-digit number divisible by five or seven? - 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 - Defective bulb probability
There are 30 broken-down packages with 2,000 light bulbs. What is the probability that a randomly selected light bulb is defective? - Double probability
The probability of success of the planned action is 60%. What is the probability that we will achieve success at least once if this action is repeated twice? - Alarm systems
What is the probability that at least one alarm system will signal the theft of a motor vehicle when the efficiency of the first system is 90% and of the independent second system 80%?
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