Combinatorics - math word problems - page 31 of 54
Number of problems found: 1079
- 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)? - 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? - 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.
- Classroom
Of the 26 pupils in the classroom, 12 boys and 14 girls, four representatives are picked to the odds of being: a) all the girls b) three girls and one boy c) there will be at least two boys - 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. - 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? - How many 172
How many five-digit numbers are there that have exactly 2 fours and exactly 3 sevens in their notation?
- HAMMER 3
Determine how many ways it is possible to rearrange the letters of the word HAMMER so that in this rearrangement some group of consecutive letters forms the word WATER. - Play match
A hockey match played for three periods ended with a score of 2:3. How many possibilities are there on how the given thirds could have been completed? - Competition
Fifteen boys and ten girls are in the class. In the school competition, a six-member team composed of four boys and two girls is selected. How many ways can we choose students? - Basketball
Peter and Franta threw to the basket. Each had 20 attempts. Peter scored thirteen and twelve Franta. Give them a percentage of success. - travel agency
A small travel agency offers five different honeymoon tours. What is the probability that the bride and groom will choose the same tour (they will choose independently)?
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