Combinatorics - math word problems - page 36 of 54
Number of problems found: 1079
- 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)!
- Two aces
From a 32-card box, we randomly pick 1 card and then two more cards. What is the probability that the last two drawn cards are aces?
- Three dice
What is the probability that when we roll three dice, we roll the number 1,2,3?
- Green - Red
We have 4 bags. Each consists of one green and 2 red balls. From each, we pull just one ball. What is the probability that we don't pull any green ball?
- 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?
- 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?
- 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?
- 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
- 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)?
- Probability - coloured balls
The cube has 6 blue, 8 red, and 10 green balls. The player randomly draws 3 balls. Determine the probability that he draws balls of the same color.
- Probability - shelf
Ten books are placed randomly on one shelf. Find the probability that certain three books are placed next to each other.
- Beads
How many ways can we thread four red, five blue, and six yellow beads onto a thread?
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