Combinatorics - math word problems - page 35 of 54
Number of problems found: 1077
- Determine 79624
There are 5 roads from city A to city B, 3 from city B to city C, and 4 from city C to city D. Determine the number of paths that go from A to D via B and C. - Probability 41211
We have five red and seven white balls in a hat. What is the probability of pulling: a) a red ball? b) a white ball? - Significant 19983
We roll two dice, red and green. What probability will a more significant number fall on the red dice than on the green? - Page numbering
The book has 88 pages. How many times is the number 4 used for the book numbering? - Hearts
3 cards are chosen from a standard deck of 52 playing cards (13 hearts) with replacements. What is the probability of choosing 3 hearts in a row? - Wardrobe code
Lucia has a lock on her wardrobe that opens with a 4-digit code (such as 0000, 0089, or 9123). Lucia forgot her code. But she knows that the sum of all four digits of her code is 4. How many such codes are there? - 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.
- Probability 3847
Out of 20 boys playing football or handball, 16 boys play football, and 9 boys play handball. Determine the percentage probability that, by randomly selecting a boy, he plays: a) football only; b) only handball c) football and handball - Probability - target
A target is divided into two zones. The probability that the shooter will hit zone 1 of the target is 21%; that he will hit zone 2 of the target is 48%. What is the probability that the shooter will hit the target? - Ace or king
What is the probability that we will choose an ace or a king when choosing from a deck of sevens cards? - Possible combinations - word
How many ways can the letters F, A, I, and R be arranged? - Six on dice
When throwing two dice, what is the probability they will fall at least one six? - 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 - Probability 83267
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 83133
The mobile PIN has 4 characters. What is the probability that the PIN contains the number 7 and ends with the number 5?
- Five-digit 82257 Determine the number of all five-digit natural numbers in which every two digits are different in decimal notation.
- Indistinguishable 74294
We have eight compartments where we put three indistinguishable balls and two distinguishable ones. How many options do we have? - Correctly 20713
Out of 30 tasks, Peter solved 24 correctly. Find success rate in percent. - Sweets
There are 12 sandwiches on a plate, 5 of which are poppy seeds and 7 are jam. How many cheese sandwiches must be added to them so that the probability that a randomly selected sandwich is poppy seed is 20%? - Social beneficiaries
In a certain community, 52% are SAP beneficiaries, 15% are members of 4Ps, and 8% are both SAP and 4 Ps. If a citizen from the community is an SAP, what is the probability that he is also 4Ps? If that person is not a 4Ps, what is the probability that he i
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