Sets - high school - practice problems - last page
Number of problems found: 117
- Billiard balls
A layer of ivory billiard balls radius of 6.35 cm is in the form of a square. The balls are arranged so that each ball is tangent to everyone adjacent to it. In the spaces between sets of 4 adjacent balls, other balls rest, equal in size to the original. - Probability 3847
Out of 20 boys playing football or handball, 16 boys play football, and 9 boys play handball. Determine the percentage probability that, by randomly selecting a boy, he plays: a) football only; b) only handball c) football and handball - Two-digit 3456
Write all the two-digit numbers that can be composed of the digit 7,8,9 without repeating the digits. Which ones are divisible b) two, c) three d) six? - Dices throws
What is the probability that the two throws of the dice: a) Six falls even once b) Six will fall at least once
- Jar
The jar has the shape of a cylinder. Height of jar h = 8 cm, and jar diameter D is 8 cm. After rolling the pot, some water spilled, and the water level accurately reached half of the base. The water level makes a parabola with the same diameter. How to ca - Holidays
Of the 35 students in the class, were seven on holiday in Germany and just as many in Italy. Five students visited Austria. In none of these countries were 21 students. One student visited all three. In Italy and Austria were two students and in Austria a - Chambers
The decision-making committee consists of three people. For the commission's decision to be valid, at least two members must vote similarly. It is not possible not to vote in the commission. Everyone only votes yes or no. We assume that the first two memb - Class - boys and girls
In the class are 60% boys and 40% girls. Long hair has 10% boys and 80% girls. a) What is the probability that a randomly chosen person has long hair? b) The selected person has long hair. What is the probability that it is a girl? - Lottery
Fernando has two lottery tickets, each from the other lottery. In the first is 973 000 lottery tickets from them wins 687 000, the second has 1425 000 lottery tickets from them wins 1425 000 tickets. What is the probability that at least one Fernando's ti
- Segments
Line segments 69 cm and 3.7 dm long we divide into equal parts which lengths in centimeters is expressed integer. How many ways can we divide? - Pairs
Teachers must choose one pair of boys and girls from the five girls and four boys. A) How many such pairs of (M + F)? B) How many pairs were only boys (M + M)? C) How many are all possible pairs? - Ace
We pulled out one card from complete sets of playing cards (32 cards). What is the probability of pulling the ace? - 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): - Scrap
From 19 products are 4 scraps. What is the probability that the random pick of 2 products has no defective product?
- Freedom
In the city are 3/9 of women married for 3/6 men. What proportion of the townspeople is free (not married)? Express as a decimal number. - Subsets
How many are all subsets of set C = (97, 67, 66, 18, 59, 64)? - Two doctors
Doctor A will determine the correct diagnosis with a probability of 89% and doctor B with a probability of 75%. Calculate the probability of proper diagnosis if both doctors diagnose the patient.
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