Combinatorics - math word problems - page 15 of 57
Number of problems found: 1135
- Peter and Lucy
In a group of 3 boys and 4 girls, two players are drawn to play a game. Among the girls is Lucy, and among the boys is Petr (both are the only ones with that name). The first one drawn will be the captain, and the second the helmsman. What is the probabil - Outfit Combination Count
Milan found out that he could wear pants and a T-shirt in a total of 28 different ways. How many T-shirts and pants can he have? List all options. - Goalkeeper
Mike plays as the goalkeeper 50% of the time if Peter is the coach in a football game. However, if Robert were coaching, he would only have a 30% chance. Peter coaches more than Robert in about 6 to 10 games. What is the probability that Mike gets to be t - Ten dices
When you hit ten dice simultaneously, you get an average of 35. How much do you hit if every time you get six, you're throwing the dice again? - Second prize
Jamie and Mark each bought a raffle ticket for a draw of 125 tickets total. The first ticket drawn wins the prize of the winner's choice and is removed from the draw. The holder of the second ticket drawn wins the remaining prize. Find the probability tha - Number probability calculation
1. What is the probability that we write an even number from the numbers from 1 to 20? 2. We randomly draw one ticket From the eighteen tickets numbered 1 - 18. What is the probability that the ticket drawn will have: a) a number divisible by 3 c) a prime - Password dalibor
Camilla wants to change the password daliborZ by a) two consonants exchanged between themselves, b) changes one little vowel to such same great vowel c) makes these two changes. How many opportunities do you have a choice? - Probability 9
The wife did not come home from work on time. The husband knows from experience that with a probability of 0.3 she talked with a colleague, or with a probability of 0.6 she went shopping, or with a probability of 0.1 she was delayed for other reasons. The - Certain
A certain product can be produced by two technological procedures. The probability of first-class quality in the first procedure is 0.68, in the second 0.4. All products are stored together. By the first procedure we produce 1.5x more products than by the - Even number creation
How many are all even two-digit numbers that We can create from the digits 2, 4, and 7? The numerals can be repeated in the created number. - Number probability
There are numbers from 1 to 20 in the hat. What is the probability that we will pull out from the hat: a / one-digit number b / prime number c / number greater than 11 d / a number divisible by six Thank you - Two-digit numbers
Write all the two-digit numbers that can be composed of the digit 7,8,9 without repeating the digits. Which ones are divisible b) two, c) three d) six? - Prime number probability
We randomly draw one out of 18 cards with numbers from 1 to 18. What is the probability that the ticket drawn is a prime number? Write the result as a decimal number rounded to two decimal places. - Three-digit number creation
How many different three-digit numbers divisible by five can we create from the digits 2, 4, and 5? The numerals can be repeated in the created number. - Raffle
There are 200 tickets in a raffle, but only 20 are winners. What is the probability that a group of people who bought 5 tickets together wins at least 4 prizes? - Scrap
From 18 products are 5 scraps. What is the probability that the random pick of 2 products has no defective product? - Ball selection probability
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? - Penalty kick probability
A soccer team player will score a goal from a penalty kick with a probability of 0.8. The goalkeeper has a penalty kick success rate of 0.4 What is the likelihood that: a) - a goal is scored during the execution of one kick b) - that a goal is not scored - Three-digit number creation
The numbers 1,3,7,4 are given. How many three-digit numbers are there: a) if the numbers can be repeated b) if the numbers cannot be repeated c) how many even three-digit numbers if the numbers can be repeated d) how many odd three-digit numbers if the nu - Marbles 3 Paisley has a bag of 16 green, orange, and yellow marbles. If there are eight green marbles, how many marbles have to be yellow for P(yellow) = 1/4?
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