Combinatorics - math word problems - page 48 of 54
Number of problems found: 1080
- Ten persons
Ten persons, each person, make a hand to each person. How many hands were given? - Seeds
The germination of seeds of a certain species of carrot is 96%. What is the probability that at least 25 seeds out of 30 will germinate? - In an
In an ABCD square, n interior points are chosen on each side. Find the number of all triangles whose vertices X, Y, and Z lie at these points and on different sides of the square. - Probability 82993
The probability of sprouting each avocado pit is 0.9. We planted 3 stones. What is the probability that exactly two of them will grow? - Probability 5077
They have four types of cakes in the patisserie. Anna always buys two at a time. What is the probability that he will get two spikes today? - The average 7
The average lifespan for cricket is 90 days, with a standard deviation of 13 days. If we assume that the lifespan of cricket is normally distributed, a. What is the probability a randomly selected cricket has a lifespan of fewer than 75 days? b. What is t - Shooter
The probability that a good shooter hits the center of the target circle No. I is 0.13. The probability that the target hit the inner circle II is 0.58. What is the probability that it hits the target circle I or II? - Mastering
The student masters the subject matter for the exam in Czech to 98%, from Math to 86%, and from Economics to 71%. What is the probability that he will fail in Math and that others will succeed? - Probability 25631
A private company will hire two IT specialists. Tomáš is among the five registered candidates. What is the probability that he will not be accepted? - The probability
The probability that a life bulb will have a more than 682 hours lifetime is 0.9788. The probability that a bulb will have a more than 703 hours lifetime is 0.0051. Find the probability that a bulb will last for more than 648 hours. - Binomial probability
What is the binominal probability that at least 4 of the six trials (n=6) are succeeded where φ = 0.50? - Dice
We threw ten times playing dice. What is the probability that the six will fall exactly four times? - Deficiencies
The hygienic inspection of 2000 mass caterers found deficiencies in 300 establishments. What is the probability that flaws in a maximum of 3 devices will be found during the inspection of 10 devices? - Calculate 5391
Viktor shot darts into a circular target with a radius of 5 cm. Inside the circle is a smaller circle with a radius of 2 cm. Calculate Viktor's chance of hitting a smaller circle in percent. - Probability 37381
The machine produces one part in 2 minutes. The probability that it is defective is 0.05. What probability will the machine produce exactly ten defective parts per shift (8 hours)? - Probability 68574
The target is divided into three zones. The probability of a shooter hitting the first band is 0.18, the second band 0.2, and the third band 0.44. What is the probability that a) hits the target, b) miss the target? - Combi-triangle
Each square side is marked 13 different points outside the square's vertices. How many triangles can be constructed from this set of points, where each vertex of the triangle lies on the other side of the square? - Distribution 81063
The weight of a loaf of bread should be 900 g. Loaves whose weight differs by more than 30 g from this value must be rejected. Determine the probability that a loaf is rejected if its weight has a normal distribution N(900,40). - Distribution function
X 2 3 4 P 0.35 0.35 0.3 The data in this table do I calculate the distribution function F(x) and then probability p(2.5 < ξ < 3.25) p(2.8 < ξ) and p(3.25 > ξ) - Probability - dice
I roll six six-sided dice; what is the probability that exactly three threes will fall?
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