Combinatorics - math word problems - page 16 of 54
Number of problems found: 1079
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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? - Probability 65464
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. - The box
The box contains five chocolate, three fruit, and two menthol candies. We choose sweets at random from the box. What probability will we take out one chocolate, one fruit, and one menthol candy without a return? - Three-digit 67834
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 - Probability 65634
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? - Tournament 61544
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 67824 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
- Three-digit 65624 Pablo has five cards with numbers 0, 1, 6, 7, and 9. How many odd three-digit numbers can he form?
- Four numbers
I am a four-digit number, no zeros, in which the first number is five times the last, the second is four more than the first and three times the third, and the third is two more than the last and two less than the first. - 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?
- The dice
Find the probability that a number divisible by two or three will fall when the dice are rolled. - Lottery
Pavol has two lottery tickets, each from the other lottery. In the first is 1203 000 lottery tickets from them wins 410 000, the second has 1478 000 lottery tickets from them wins 1478 000 tickets. What is the probability that at least one Pavol's ticket - 2nd class variations
From how many elements can you create 5112 variations of the second class? - Combinations 16213
From how many elements is it possible to create 120 second-class combinations?
- Variations 4/2
Determine the number of items when the count of variations of the fourth class without repeating is 600 times larger than the count of variations of the second class without repetition. - Combinations 16283
How many elements is it possible to form twice as many second-class combinations as a fourth-class combination? - 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.
- 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. - 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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