Combinatorics - math word problems - page 38 of 54
Number of problems found: 1080
- Champion 5098
Compare the odds of pairs of events. A) Slovakia will be the world champion in ice hockey 2 times in a row. B) You will write all the papers this year with at least a double. C) In two years, humans will be on Mars. D) Someone in your class will write all
- Bulbs
The probability that the bulb can operate 4000 hours is 0.3. What is the probability that exactly one of the eight bulbs can operate 4000 hours?
- Lunch
Seven classmates go every day for lunch. If they always come to the front in a different order, will it be enough school year to take off all the possibilities?
- Determine 79634
There are 12 apples and 10 pears in the basket. Peter has to choose either an apple or a pear from them so that Víra, who chooses 1 apple and 1 pear after him, has the greatest possible choice. Determine what Peter chooses.
- Seating rules
In a class, there are 28 seats, but in the 5.D class, there are only 24 students. How many ways can students sit? (The class has 14 benches. A bench is for a pair of students.) Result write down as powers of 10 - (logarithm - large number).
- Probability 71204
On ten identical cards, there are numbers from zero to nine. Determine the probability that a two-digit number randomly drawn from the given cards is: a) even b) divisible by six c) divisible by twenty-one
- Three digits number
From the numbers 1, 2, 3, 4, and 5, create three-digit numbers whose digits do not repeat, and the number is divisible by 2. How many numbers are there?
- 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?
- Three students
Three students independently try to solve the problem. The first student will solve a similar problem with a probability of 0.6, the second student will solve at a probability of 0.55, and the third will solve at a probability of 0.04. The problem is reso
- A machine
A machine produces steel rods of normally distributed length, the mean length and the standard deviation being 50.0 cm and 0.5 cm, respectively. The rods do not conform to safety standards if they are either shorter than 49.1 cm or longer than 50.7 cm in
- Holidays with grandmam
We packed three white, red, and orange T-shirts and five pairs of pants—blue, green, black, pink, and yellow. If we put on a different combination of clothes every day, how many days can we spend with the old mother?
- Insurance
The house owner is insured against natural disasters and pays 0.05% annually of the value of the house 88 Eur. Calculate the value of the house. Calculate the probability of disaster if you know that 50% of the insurance is to pay damages.
- Possibilities 8450
There are 11 pupils in the group, among them just one Martin. How many possibilities are there for distributing 4 different books to these pupils if each is to receive at most one and Martin just one of these books".
- Permutations 82516
From how many elements can we make 5040 permutations without repetition?
- Characters 63404
How many characters can we create from two commas and four dots?
- Arrangements 63384
Determine the number of arrangements of these six elements: a, a, a, b, b, c.
- Three dice 2
What is the probability that two odd numbers will be the same when three dice are rolled?
- Numbers 6D
Find out how many natural six-digit numbers exist whose digit sum is four.
- How many 13
How many ways can X³ y⁴ z³ be written without an exponent?
- Middle finger
Jana counts on one hand one by one. She starts counting from her thumb through her index finger, middle finger, and ring finger and comes to her little finger and has the number 5. Then she immediately returns to her ring finger (6), to her middle finger
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