Combinatorics - practice problems - page 2 of 52
Number of problems found: 1029
- A fair dice
A fair six-sided dice are rolled. What is the probability that the first number rolled is greater than 1 and the second number rolled is odd? Type your answer as a fraction in the simplest form. - Two dice 3
Two dice are thrown together. What is the probability that the number obtained on one of the dice is a multiple of the number obtained on the other dice? 2/3 9/36 12/36 11/18 - A band
A band played an encore at 2 of its last 4 shows. Considering this data, how many of the band's next 14 shows would you expect to have an encore? - The marathon
Twelve athletes are joining the Topolcany Marathon Event. How many ways can the first, second, and third placers be chosen?
- A basket 4
A basket contains 9 fruits, where 4 are oranges, and the rest are mangoes. Three fruits are taken out one at a time and put aside. Find the probability that 3 are oranges. - A coin
Suppose you tossed a coin 12 times. The coin landed on heads 9 times and on tail 3 times. What is the probability of landing on tails? - Library and gym
In a town, 7/8 of the population has a library card, and 3/4 has a gym membership. What fraction of the population has either a library card or a gym membership? - Divisors 7
If 540=2²×3³×5, what is the number of all factors of 540? - False positive, false negative
Suppose the likelihood of someone being allergic to cats is 1/1000 of the general population. A test to determine if you're allergic to cats has a false positive rate of 5%; that is, 5% of the time, the test will indicate incorrectly that you are allergic
- Kenneth 2 Kenneth has 100 pennies, 20 nickels, 10 dimes, and 4 quarters. How many ways can he choose coins that total 25 cents?
- So far
So far on its tour, a band sold out 3 shows and did not sell out the other 3 shows. Considering this data, how many of the band's next 4 shows would you expect to be sold out? - A ferry
A ferry with a capacity of 10 people takes a group of 13 men and 7 women across a river. Find the number of ways in which the group may be taken across the if all women go on the first group. - The well 3 When the health department tested private wells in a county for two impurities commonly found in drinking water, it found that 20% of the wells had neither impurity, 40% had impurity A, and 50% had impurity B. (Obviously, some had both impurities. ) If a
- Probabilities
The bag has 10 green, 6 yellow, and 4 blue. What are the probabilities as a fraction, decimals, and percents?
- Five couples
In how many ways can 5 couples arrange themselves in a row if they stay together? - 52 cards
A hand of five cards is dealt from a pack of 52 playing cards. How many different hands can be dealt that contain three aces? - Q10 - investigate
A nutritionist who investigates fruits reported that the average weight of a raspberry is 4.4 g with a standard deviation of 1.28 g. What is the probability that a randomly selected raspberry would weigh less than 3.1 grams? Let X represent the weight of - TF quiz
Gomer has to take a 5 question true/false quiz, but he hasn't studied. He will guess at each problem. In how many different ways is it possible to answer the quiz questions? How likely is it that he will get a score of 100%? - Manufacturing company It is established by the production manager of a manufacturing company that 2 out of every 20 units of a particular product are faulty. In a particular production hour, 8 units of the product were produced. Determine the probability that: (1) none of them
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