Combinatorics - math word problems - page 40 of 54
Number of problems found: 1079
- Probability
Two duelists have agreed to fight at a designated location between (6:00 and 7:20). One of them will wait 8 minutes after arriving at the location and then leave. The other will wait for his opponent for 16 minutes and then leave. What is the probability - Doctor 2
A doctor noted the Diastolic Blood Pressure (DBP) of a large number of patients. Later, he scrambled the data to keep the privacy of his patients. Based on the scrambled dataset, he finds that the lower inner fence is equal to 50 and the upper inner fence - Probability 73654
We roll two dice. One is 6-walled, and the other is 8-walled. What is the probability that at least one unit will fall? - Two-digit 5457
From how many digits can we create twenty-two-digit numbers in which the digits do not repeat? - Combinations
If the number of elements increases by 3, it increases the number of combinations of the second class of these elements five times. How many are the elements? - Calculated 19363
Peter calculated the number of placement options with four teams, A, B, C, and D, in the first three places. He helped himself with a tree diagram. Complete the solution. - Calculate 4349
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4 - In the parking lot 2
There were 12 cars in the parking lot - 5 green, 4 blue, and 3 red. What is the probability that the last car left in the parking lot is blue or green? - Permutations
How many 4-digit numbers can be composed of numbers 1,2,3,4,5,6,7 if: a, the digits must not be repeated in the number b, the number should be divisible by five, and the numbers must not be repeated c, digits can be repeated - Dices throws
What is the probability that the two throws of the dice: a) Six falls even once b) Six will fall at least once - Students 34
Students were surveyed as part of a Statistics project to determine if younger adults are more likely to have tattoos. The results are listed in the two-way table below: age; At least one tattoo; No tattoo; Row totals Age 18 - 29; 165 ; 342; 507 Age 30 - - In the library
We have 8 different books in the library. How many ways can they be arranged? How many possibilities are there if 3 volumes are to be in a certain order? How many possibilities are there if three volumes are to be in a row independently in order? - Commitee
A class consists of 12 males and 15 females. How many committees of 6 are possible if the committee must consist of 4 males and 2 females? - Fall sum or same
Find the probability that if you roll two dice, the sum of 10 will fall, or the same number will fall on both dice. - Pairs
At the table sit 10 people, 5 on one side and 5 on the other side. Among them are 2 pairs. Every pair wants to sit opposite each other. How many ways can they sit? - Repetitions 2956
How many elements do we have if the variation of the third class without repetitions is ten times more than the variation of the second class? - Combinations - elements
If we increase the number of elements by 1, the number of combinations of the third class without repetitions increases by 10. How many elements do we have? - Even five-digit
How many can even five-digit natural numbers with different digits be created from the digits 0 - 6? - Subsets
How many 19 element subsets can be made from the 26 element set? - Class - boys and girls
In the class are 60% boys and 40% girls. Long hair has 10% boys and 80% girls. a) What is the probability that a randomly chosen person has long hair? b) The selected person has long hair. What is the probability that it is a girl?
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