Combinatorics - math word problems - page 36 of 54
Number of problems found: 1077
- Probability 7672
There are eight white balls and several blue balls in the pocket. The probability of pulling out the white ball is 2/3. How many blue balls are in your bag?
- 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
- Double-digit 5631
Write how many double-digit numbers there are, which, if we multiply by four, we get the result ending in two zeros.
- Probability 7154
82% of football players, and 26% are hockey players at school. What is the probability that: A) I'm not a hockey player B) I know both sports C) I know one sport
- Alternate 4766
Each of the three players draws 3 top cards from the deck of 54 cards and returns one card to the deck from the bottom. The first, second, and third players alternate regularly. In which round does the first player draw again the card he got rid of in the
- Balls in row
Calculate the number of ways of placing four black balls, four turquoise balls, and five gold balls in a row.
- Three colors
Find the probability that three balls of the same color will be drawn from fate with ten white, ten red, and ten blue balls.
- Cancel fractions
Compress the expression of factorial: (n+6)!/(n+4)!-n!/(n-2)!
- Three dice
What is the probability that when we roll three dice, we roll the number 1,2,3?
- 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?
- Candy
How many ways can 10 identical candies be divided among 5 children?
- Probability 71164
We roll the dice twice. What is the probability that if an even number falls for the first time, the even number will fall a second time?
- Triples 67394
How many triples of sounds can be created from sounds f, o, u, r? You solve using a tree diagram.
- Different 65344
Marian obtained two different marks in one day. How many ways these marks can he get?
- Five-digit 13361
Write the 12 largest five-digit numbers in the twelve-position system and the 12 smallest six-digit numbers.
- Probability of intersection
Three students have a probability of 0.7,0.5, and 0.4 to graduate from university, respectively. What is the probability that at least one of them will be graduated?
- Hazard game
In the Sportka hazard game, six numbers out of 49 are drawn. What is the probability that we will win: a) second prize (we guess five numbers correctly) b) the third prize (we guess four numbers correctly)?
- Year-on-year 39353
The company's turnover for the period 2011-2013 increased by 3.7%. From 2013 to 2019, an average year-on-year decrease in turnover of 5% was recorded. What is the total relative change in turnover from 2013 to 2019?
- Disembarked 5962
Twenty-two passengers boarded in Žilina. Everyone gradually disembarked on the Teplička, Strečno, Vrútky, and Martin lines (the wagon was already empty in Martin). How many ways could they come out?
- 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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