Combinatorics - math word problems - page 16 of 57
Number of problems found: 1135
- Ticket divisible probability
Petra wrote the natural numbers from 1 to 20 on 20 tickets. Millie pulls out one ticket. What is the probability that she pulls out a ticket with a number divisible by three? - Chess tournament players
In an amateur chess tournament, everyone plays with everyone. There are a total of 171 chess games on the program. How many players take part in the match? - Three-digit numbers
How many are all three-digit numbers made up of digits 0,2,5,7 and are divisible by nine if the digits can be repeated? - Even number creation
How many even two-digit numbers can be created from the digits 2, 3, 4, and 5 if no digit may be repeated? - Combinations
How many different combinations of two-digit numbers divisible by four arise from the digits 3, 5, and 7? - Volleyball tournament teams
The school volleyball tournament was played on a one-on-one basis. One match lasted 15 minutes, and 3 hours and 45 minutes were played. Calculate how many teams participated. - Conditional probability
Suppose a batch contains ten items, of which four are defective. Two items are drawn at random from the batch, one after the other, without replacement. What is the probability that: I) Both are defective? Ii) Is the second item defective? - Three-digit number creation
The number 0,3,7,4 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 num - Ball pocket probability
There are seven red balls and 13 blue balls in the pocket. How many blue balls do we need to add to the pocket so that the probability of removing the red ball is 0.2? - How many 4 How many four-digit numbers that are divisible by ten can be created from the numbers 3, 5, 7, 8, 9, and 0 such no digits repeats?
- And-or probabilities
P(A ) = 0.53, P(B) = 0.15, and P(A n B ) = 0.18. Find P(A U B ). Round approximations to two decimal places. - Three-digit integers
How many three-digit natural numbers exist that do not contain zero and are divisible by five? - Farewell photos
At the end of the school year, ninth-grade boys and girls said goodbye by exchanging photos with each other. A total of 552 photos were exchanged. How many students were there? - Three 192 Three separate containers each have one purple marble and two blue marbles. One marble is chosen from each box. Find the probability of selecting a blue marble from each box.
- Pablo odd numbers Pablo has five cards with numbers 0, 1, 6, 7, and 9. How many odd three-digit numbers can he form?
- Dice roll probability
What is the probability of a random event A that a) an even number, b) a number divisible by three, c) a number greater than six will fall on the dice roll. - The accompanying
The accompanying table gives the probability distribution of the number of courses randomly selected student has registered Number of courses 1 2 3 4 5 6 7 Probability 0.02 0.03 0.1 0.3 0.4 - 0.01 respectively. a) Find the probability of a student registe - Variation element increase
If the number of elements increases by two, the number of variations of the second class of these elements created by 38 increases. What is the original number of elements? - Divisible by five
How many different three-digit numbers divisible by five can we create from the digits 2, 4, and 5? We can repeat the digits in the created number. - Probabilities
If probabilities of A, B, and A ∩ B are P (A) = 0.62, P (B) = 0.78, and P (A ∩ B) = 0.26, calculate the following probability (of the union. intersect and opposite and its combinations):
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