Probability - practice problems - page 3 of 27

Number of problems found: 536

A fair 2
A fair die is thrown two times. What is the probability that the sum of the score is almost 8?
The probability 2
The probability that an adult possesses a credit card is 0.71. A researcher selects two adults at random. The probability (rounded to three decimal places) that the first adult possesses a credit card and the second adult does not possess a credit card is
Repairs
A small repair shop orders parts for its repairs. Its supplier claims that only 2% of its parts are defective. In order of 500 parts, an employee takes a sample of 100 parts. Determine the likelihood that the employee finds three or more parts are defecti
3 sigma
Students' performance scores in a statistic test have a mean of 70 and a standard deviation of 4.0. The scores obtained can be modeled by a normal distribution. Find the probability that the score of a randomly selected student is i. more than 80 marks ii
Probabilities
The bag has 10 green, 6 yellow, and 4 blue. What are the probabilities as a fraction, decimals, and percents?
The profit 3
An investment's profit (or loss) is normally distributed with a mean of $11,200 and a standard deviation of $8,250. What is the probability of a loss rather than a profit?
Containers
One in eight containers is temporarily misplaced. A random sample of 12 containers is selected. What is the probability that 6 of these containers will be temporarily misplaced?
Testing students
Giving a test to a group of students, the grades and gender are summarized below. Grades and Gender ; A; B ; C ; Total Male; 20; 6; 19 ; 45 Female ; 17; 18; 13; 48 Total; 37; 24; 32; 93 If one student is chosen at random, a) Find the probability that the
First test
20 questions are prepared for a test. 3 questions are selected from them for the first test and then returned to the list. What is the probability that when selecting questions for the second test, the same 3 questions will be chosen as for the first?
Maroš
Mark draws two cards from a deck of Mariáš cards (32 cards). What is the probability that he draws a seven or an ace, but not the green seven?
Flower - permutations
At a flower shop, there are 5 different kinds of flowers: tulips, lilies, daisies, carnations, and roses. There are also 3 different colours of vases: blue, green, and pink. If one kind of flower and one colour of vase are selected at random, what is the
After-school club
30 children in a school club need to split into two teams. They put 15 white and 15 black marbles into a basket and draw lots. The teams will be made up of children who draw marbles of the same colour. Patricia drew first and pulled out a white marble. Af
Footballers 2
Footballers have jerseys numbered 7, 8, 9, 10, and 11. The coach wants to send them to attack: a) so that no two even-numbered jerseys are adjacent, b) so that no two odd-numbered jerseys are adjacent. How many options does he have in each case?
Multiple-choice
A multiple-choice test consists of 4 questions. Each question has three different answers, with only one being correct. A student answers each question randomly. Determine the expected number of correct answers the student gets.
Three dice 2
What is the probability that exactly two of the three dice show the same odd number when three dice are rolled?
In class 24
There are a total of 16 students in the class, a quarter of whom are girls. A team of five is selected at random. Determine the probability that the team will have: a) at least 4 girls, b) at most 1 girl, c) no girls.
Christmas 4
There are only 3 packages left under the tree — two for Julia and one for Susan. Julia takes two at once. What is the probability that both packages belong to her?
Sweets
There are 12 sandwiches on a plate: 5 with poppy seeds and 7 with jam. How many cheese sandwiches must be added so that the probability of randomly selecting a poppy seed sandwich is 20%?
In a race
There are 25 racers in a race. What is the probability that a randomly selected racer will finish no worse than 3rd place?
Hockey - game
A hockey goalkeeper has a save success rate of 93.5%. What is the probability that he keeps a clean sheet in a match when facing 25 shots? What is the probability that he concedes at most 2 goals?

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