Probability
Difficulty: ★★☆Feruz and his father decided to ride the Ferris wheel in Ashkhabad Park. There are 20 cabins in total: 4 blue, 8 green, and the rest are yellow. The cabins come to the boarding platform one after another. Find the probability that Feruz rides in a yellow cabin.
Probability
Difficulty: ★★☆Before the match, the referee tosses a coin to determine which team will start with the ball. Navbakhor is to play two matches in a row: first against Metallurg, then against Dinamo. Find the probability that in one match the first possession goes to Navbakhor, and in the other to its opponent.
Probability
Difficulty: ★★☆At Samarkand University, applicants are randomly distributed among three rooms for testing. First, 80 people are seated in each of two rooms, and the rest go to the reserve room. On the first day, 200 people arrived for the test. What is the probability that Farkhod will be assigned to the reserve room?
Probability
Difficulty: ★★☆In the taxi company “Taxi.uz”, there are currently 10 white, 3 black, and 2 gray available cars. One of the cars, randomly the closest to the customer, was sent to the call. Find the probability that a black taxi arrives.
Probability
Difficulty: ★★☆Ten students are taking part in a recitation contest at the Alisher Navoi school. The order of performance is determined by drawing lots. Guzal is very nervous and does not want to perform first, second, or third. What is the probability that her wish comes true?
Probability
Difficulty: ★★☆Teams from Uzbekistan, Indonesia, South Korea, Italy, and France are taking part in a student olympiad. Team representatives are randomly assigned numbers from 1 to 5. What is the probability that number 4 goes to a team from Asia?
Probability
Difficulty: ★★☆A university teacher in Fergana uses a random number generator to choose the student on duty. There are 40 students in the group, 24 of whom are boys. What is the probability that a girl will be chosen today?
Probability
Difficulty: ★★☆At a scientific conference at Tashkent University of Economics, 9 presentations are scheduled before lunch and 6 after lunch. The speaking order is determined by drawing lots. Associate Professor Yusupova prepared one talk. What is the probability that she will speak before lunch?
Probability
Difficulty: ★★☆Asad created a bank card password in the form of a four-digit PIN code. He remembers that the first and last digits are 7, and both middle digits are less than 5. What is the probability that he enters the correct PIN on the first try?
Probability
Difficulty: ★★☆A class teacher bought notebooks for rewarding students: 8 with an “Ikat” pattern, 8 with a view of Samarkand, and 4 with a Navruz symbol. The gifts are distributed randomly. What is the probability that Bekzod gets a notebook with a view of Samarkand?
Probability
Difficulty: ★★☆Aziz remembers all the digits of a phone number except the last two. He remembers that both of them are odd and different. What is the probability that he dials the correct number on the first try?
Probability
Difficulty: ★★☆There are 30 exam tickets. Akmal did not learn 9 of them. Find the probability that he gets a ticket he has learned.
Probability
Difficulty: ★★☆In the old city of Khiva there are several guides: 10 historians by education, 6 art historians, and 4 journalists. A travel agency assigns a guide to a tourist at random. What is the probability that Maryam gets an art historian as her guide?
Probability
Difficulty: ★★☆Asad set a code on the suitcase he checked in as luggage. When he got the suitcase back, he only remembered that the code consisted of three different digits, the first digit was even, the second was zero, and the last was odd. What is the probability that he opens the suitcase on the first try?
Probability
Difficulty: ★★☆At the Sumalyak festival in the mahalla, prizes are being raffled: 10 sets of sweets, 10 “suzane” tablecloths, and 5 clay jugs. Nilufar’s ticket turned out to be a winning one. What is the probability that she won either a set of sweets or a tablecloth?
Probability
Difficulty: ★★☆At a factory in Margilan, silk fabrics are produced: 12 types with floral patterns, 3 types with mythical animals, and 15 types with geometric ornaments. One roll is selected at random for quality control. What is the probability that it has a floral pattern?