Variations + reason - practice problems - page 6 of 7
Number of problems found: 131
- Sum on dice
We have two dice. What is the greater likelihood of falling a total sum of 7 or 8? (write 7, 8, or 0 if the probabilities are the same)?
- Sum or product
What is the probability that two dice fall will have the sum of seven or product 12?
- 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?
- Digits
How many five-digit numbers can be written from numbers 0.3,4, 5, and 7 divided by 10, and digits are repeated?
- Three reds
What is the probability that all three of the seven cards will be red if three cards are drawn?
- Tricolors
From the colors - red, blue, green, black, and white, create all possible tricolors.
- Inscription: 5099
We roll the dice five times. Inscription: A) 3 events that definitely cannot happen. Write a reason for each. B) 3 events that will definitely happen. Write a reason for each. C) 3 events that may or may not occur. Write a reason for each.
- Three-digit 5093
How many can you create three-digit numbers from the numbers 1,3,5,7 if we must not repeat the numbers?
- Different 5030
The school teaches 12 different subjects, and each subject is taught for no more than an hour a day. How many ways can the timetable be made for one day if 5 different subjects are taught that day?
- Dining 5004
The dining room offers three types of soups and four types of main courses. How many ways can we choose soup and the main course?
- Digits
How many natural numbers greater than 4000 are formed from the numbers 0,1,3,7,9 with the figures not repeated, B) How many natural numbers will be less than 4000, and can the numbers be repeated?
- Alarm clock
The old watchmaker has a unique digital alarm in its collection that rings whenever the sum of the alarm's digits equals 21. Find out when the alarm clock will ring. What is their number? List all options.
- Salami
We have six kinds of salami, six of which have ten pieces, and one of which has four pieces. How many ways can we distinctly choose five pieces of salami?
- Different 4533
Five different positive numbers are written on the board. Determine the largest possible number of pairs formed from them in which the sum of the two elements equals one of the five numbers written on the board.
- Divisions 4044
School players scored seven goals in the match. List all possible goal divisions into three-thirds and add up how many.
- Four swords
Obelix has three helmets, four swords, and five shields. How many words must you make at the blacksmith forge Metallurgix to be able to walk another 90 days in unique armor?
- Combinations of sweaters
I have four sweaters: two white, one red, and one green. How many ways can you sort them out?
- 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
- Eight blocks
Dana had the task of saving the eight blocks of these rules: 1. Between two red cubes must be a different color. 2. Between two blue must be two different colors. 3. Between two green must be three different colors. 4. Between two yellow blocks must be fo
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