Combinatorial number - practice problems - page 3 of 16
Number of problems found: 307
- The chief
The chief fisherman, Peter, estimates that if he uses four lines, then the probability of making a catch on one line is 0.7. If he uses five lines, then the probability of making a catch on any line is 0.6. If he uses six lines, the probability of making
- Yarhands
Yarhands Statistical Consult conducted statistical analysis on the election results from 1992 to 2012 to assess the chances of the NPP winning the election in Ghana's Volta region. The research reveals that 15% of inhabitants in the Volta region favor the
- Bernoulli trial
A used car saleswoman estimates that each time she shows a customer a car, there is a probability of 0.1 that the customer will buy the car. The saleswoman would like to sell at least one car per week. If showing a car is a Bernoulli trial with a probabil
- A committee
A committee of 6 is chosen from 8 men and 7 women. If a particular man must be included, find how many committees are possible.
- Probability - dice
I roll six six-sided dice; what is the probability that exactly three threes will fall?
- A bag 2
A bag contains seven green and eight red jellybeans. How many ways can five jellybeans be withdrawn from the bag so that the number of green ones withdrawn will be less than 4?
- Competition in the class
There are 10 students in the class, of which 8 are girls and two are boys. We want to select three for the competition. What is the probability that they will be: a) 2 girls and 1 boy b) 1 girl and 2 boys c) 3 girls d) 3 boys e) at least 2 girls
- Probability - dices
We roll six dice. What is the probability that: a) a six falls twice b) six falls four times
- Between 72924
How many ways do we know to select three cards from a deck of seven cards so that there are two red and one green between them?
- Five identical
Five identical coins are tossed. What is the probability of more than one head?
- 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?
- Including 70264
A group of six, including at least three women, is selected from seven men and four women. Find how many ways we can do this.
- Probability 69914
During the exam, each student receives 30 different questions, from which he chooses 3 at random. To pass the exam, he needs to be able to answer two correctly. What is the probability that a student will pass if he mastered 70% of the questions (70% of t
- Five-a-side 69434
Five children took part in the five-a-side tournament: Anka, Betka, Celeste, Dano, and Erik. Everyone played with everyone. How many games have been played?
- Three-member 69274
The teacher wants to create one three-member team of four girls and four boys, with one girl and two boys. How many different options does it have to create a team?
- Ten points
There are ten arbitrary points in the plane. How many circles can we make from them?
- Different 68754
We have six balls of different colors. We select two balls at once. How many options?
- Probability 68584
There are five whites and nine blacks in the destiny. We will choose three balls at random. What is the probability that a) the selected balls will not be the same color, b) will there be at least two blacks between them?
- Different 68064
Anna painted eggs for art. She had five colors for her eggs. He wants to put three of them on each. How many different colored eggs could she paint? (It's just the colors, not the shapes on them. )
- Numbered
In the past, passengers in public transport vehicles marked such single-use tickets, which had 9 numbered boxes, a certain number of which were punched with a marker. A) In how many different ways could the ticket be marked if 3 boxes were punched? B) How
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