Combinatorics - math word problems - page 31 of 54
Number of problems found: 1077
- Pairs of socks
Ferdinand has twelve pairs of socks, and one sock is leaky. What is the probability of putting on a leaky sock?
- Natural numbers
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7?
- First class
The shipment contains 40 items. 36 are first-grade, and four are defective. How many ways can we select five items so that it is no more than one defective?
- Cards
Suppose that are three cards in the hats. One is red on both sides, one of which is black on both sides, and a third one side red and the second black. We randomly pull out a hat on one card and see one side of it is red. What is the probability that the
- The confectionery
The confectionery sold five kinds of ice cream. If the order of ice cream does not matter, how many ways can I buy three kinds?
- Gertrude 62304
Six boys and six girls (among them Emil, Félix, Gertrude, and Hanka) want to dance. The number of ways they can make six (mixed) couples if Emil does not want to dance with Gertrude and Hanka wants to dance with Felix is?
- Production 60701
The enamel for the production of bottles contains defects. The average number of caries is 15 per 100 kg. The bottle weighs 1 kg. What is the proportion of defective bottles?
- Probability 8408
From the group of 18 players I am, the coach selects nine players. What is the probability that I will be among the players chosen?
- Round table
Eight people are sitting at a round table. In how many ways can they be seated around the table?
- Gold, silver, bronze
How many ways can we divide gold, silver, and bronze medals if six people compete?
- One three
We throw two dice. What is the probability that number three falls maximally once?
- A jackpot
How many times must I play this jackpot to win? A jackpot of seven games having (1 X 2), i.e., home win or away win.
- Tricolors
From the colors - red, blue, green, black, and white, create all possible tricolors.
- Balls
From the urn in which are 18 white balls and 10 red, gradually drag 4-times without replacement. What is the probability that pulls balls are in order: červená červená červená biela?
- Elections
In elections, candidates 10 political parties. Calculate how many possible ways the elections can finish if two parties do not get the same number of votes.
- Sum on dice
We have two dice. What is the greater likelihood of falling a total sum of 7 or 8? (write 7, 8, or 0 if the probabilities are the same)?
- Raffle
How many raffle tickets must be purchased by Peter in a raffle with issued 200 tickets if he wants to be sure to win at least a third price? The raffle draws 30 prices.
- Beginning 6334
On the tray, they had apricot and plum cakes in a ratio of 3:2. After eating three apricot pies, the chance of taking out a plum and apricot was the same. How many cakes were there together on the tray at the beginning?
- Probability 72324
When entering the PIN code, we used the digits 2, 3, 4, 5, and 7 only once. What is the probability that someone will guess our PIN code on the first try?
- Possibilities 8237
How many different possibilities exist for settling friends A, B, C, D, E, and F in six seats if A wants to sit next to C?
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