Combinatorics - math word problems - page 51 of 57
Number of problems found: 1135
- Deficiencies
The hygienic inspection of 2000 mass caterers found deficiencies in 300 establishments. What is the probability that flaws in a maximum of 3 devices will be found during the inspection of 10 devices? - Machine defect probability
The machine produces one part in 2 minutes. The probability that it is defective is 0.05. What probability will the machine produce exactly ten defective parts per shift (8 hours)? - School student
The probability that a school student has a skateboard is 0.34, the probability that he has a bicycle is 0.81, and the probability that he has a skateboard and a bicycle is 0.22. What is the probability that a randomly selected student has a skateboard or - Two-digit number creation
How many natural two-digit numbers can we form from the digits 0, 1, 2, and 3 if the numerals cannot be repeated in these numbers? - Avocado seed probability
The probability of sprouting each avocado pit is 0.9. We planted 3 stones. What is the probability that exactly two of them will grow? - Probability - coin toss
A coin is tossed 24 times. Find the probability of getting 16 heads. (The probability of getting a head is 0.5) - Probability - dice
I roll six six-sided dice; what is the probability that exactly three threes will fall? - All multiples
Set A is a set of all multiples of 2, and set B is a set of all multiples of 3. If the P (A)=0.6 and P (B)=0.3. Find P (AUB). - 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? - Testing 5
Viktória has many T-shirts - 3 white, 1 yellow, 3 blue, 2 green, 4 pink, 1 black, 2 orange. Which of the following statements is true? A: It is equally probable that Viktória will put on a white T-shirt as a pink T-shirt. B: It is more probable that Viktó - Rectangles
How many rectangles with an area of 8855 cm² have sides that are natural numbers? - Five identical
Five identical coins are tossed. What is the probability of more than one head? - Bread weight rejection
The weight of a loaf of bread should be 900 g. Loaves whose weight differs by more than 30 g from this value must be rejected. Determine the probability that a loaf is rejected if its weight has a normal distribution N(900,40). - A bag 4
A bag contains 18 balls that differ only in colour: 11 are blue and 7 are red. Two balls are picked one after the other without replacement. Find the probability that both are: (i) blue, (ii) the same colour, (iii) different colours. - Distribution function
X 2 3 4 P 0.35 0.35 0.3 The data in this table do I calculate the distribution function F(x) and then probability p(2.5 < ξ < 3.25) p(2.8 < ξ) and p(3.25 > ξ) - Keyboards keys
Michael had small keys on the shelf, which you can see in the picture. Their tones were marked on the white keys. Little Clara found the keys. As she took them off the shelf, they fell out of her hand, and all the white keys spilled out. So that the broth - Triangle Side Lengths Probability
We have the numbers 4, 6, 9, 13, and 15. What is the probability that these will be the lengths of the sides of the triangle? (Consider only scalene triangles.) - 9 rectangles
A large rectangle is divided into 9 small rectangles. How many rectangles are there in total (of all sizes)? - Lines
How many lines can be drawn with 8 points if three points lie on one line and the other any three points do not lie on the same line? - Triangle probability
From the numbers 4, 6, 8, 10, and 12, three are chosen at random. What is the probability that the three chosen numbers can form the sides of a scalene triangle?
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