Reason - high school - practice problems - page 9 of 31
Number of problems found: 608
- Double probability
The probability of success of the planned action is 60%. What is the probability that we will achieve success at least once if this action is repeated twice? - Alarm systems
What is the probability that at least one alarm system will signal the theft of a motor vehicle when the efficiency of the first system is 90% and of the independent second system 80%? - Arithmetic 20153
The teacher has 12 examples from geometry and 15 examples from arithmetic. How many papers can he create if he wants three examples from geometry and five from arithmetic in the letter? - Bent scale
Monica weighed 52 kg. Sara 54 kg. Together they weighed 111 kg. They noticed that the needle on the scale was bent. How much did they really weigh?
- Four-member 20013
Determine how many ways it is possible to form a four-member team from 6 men and four women, where there are exactly two men. - Non-conforming 19863
The probability that a quality product will meet all technical requirements is 0.95. What is the probability that all three randomly produced products will be: a) conforming, b) non-conforming - Sum of the seventeen numbers
The sum of the 17 different natural numbers is 154. Determine the sum of the two largest ones. - Calculated 19363
Peter calculated how many placement options there were with four teams, A, B, C, and D, in the first three places. He helped himself with a tree diagram. Complete the solution. - Table and chairs
Four people should sit at a table in front of a row of 7 chairs. What is the probability that there will be no empty chair between them if people choose their place entirely randomly?
- The tourist
The tourist wanted to walk the route 16 km at a specific time. He, therefore, came out at the necessary constant speed. However, after a 4 km walk, he fell unplanned into the lake, where he almost drowned. It took him 20 minutes to get to the shore and re - Fall sum or same
Find the probability that if you roll two dice, it will fall the sum of 10, or the same number will fall on both dice. - Annulus
Two concentric circles with radii 1 and 9 surround the annular circle. This ring is inscribed with n circles that do not overlap. Determine the highest possible value of n. - Probability 17503
We choose four numbers from numbers 1 - 20. What probability will the numbers 6 or 10 be among them? - Beginning 16773
In the beginning, there are two boys and x girls. Then another three children will come to the class. In the end, there are three times fewer boys than girls. How many girls and boys are in the class
- Birth
Let's assume that the probability of the birth of a boy and a girl in the family is the same. What is the probability that the youngest and oldest child in a family with five children is a boy? - Determined 16233
How many lines are determined by 5 points if three lie in one line? - Water current
John swims upstream. After a while, he passes the bottle, and from that moment, he floats for 20 minutes in the same direction. He then turns around and swims back, and from the first meeting with the bottle, he sails 2 kilometers before he reaches the bo - Divide
How many different ways can three people divide seven pears and five apples? - Same force
The trunk of 5m in length and 95 kilograms has a center of gravity of 2m from the thicker end. The tribe is carried by two men, one at the thicker end. At what distance does the trunk carry a man from the other end to make the same force on it?
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