At a taxi company, there are currently 20 white, 6 black, and 4 grey cars available. One of the cars is dispatched, randomly being the closest to the customer. Find the probability that a black taxi arrives.

Feruz and his father decided to ride a Ferris wheel. There are 20 cabins in total: 3 blue, 10 green, and the rest are red. The cabins come to the boarding platform one by one. Find the probability that Feruz rides in a red cabin.

There are 50 exam tickets. Aziz has not learned 9 of them. Find the probability that he gets a ticket he has learned.

The parents’ committee bought puzzles as gifts for the children at the end of the year: 8 with cars, 10 with city views, and 6 with cartoon characters. The gifts are distributed at random. Find the probability that Malika gets a puzzle with a cartoon character.

Before a match, the referee tosses a coin to determine which team starts with the ball. Pakhtakor is to play two matches in a row: first against Nasaf and then against Bunyodkor. Find the probability that Pakhtakor gets the first possession in both matches.

Teams from the USA, China, Uzbekistan, France, and Germany take part in a championship. Team representatives are assigned numbers at random. What is the probability that number 5 goes to a team from Asia?

A class teacher bought 20 pens to reward students: 8 with an “Ikat” pattern, 10 with a view of Tashkent, and 2 with a Navruz symbol. The gifts are distributed at random. What is the probability that Shakhzod gets a pen with the “Ikat” pattern?

A university teacher in Tashkent uses a random number generator to choose the student on duty. There are 25 students in the group, 10 of whom are male. What is the probability that a girl will be chosen today?

At Tashkent University, applicants are randomly assigned to three rooms for testing. First, 60 people are seated in each of two rooms, and the rest go to the reserve room. On the first day, 150 people came for testing. What is the probability that Bahodir will be placed in the reserve room?

At the “Samarkand” bus station, several buses are ready to depart to different cities: 2 to Tashkent, 3 to Bukhara, and 5 to Shahrisabz. A dispatcher randomly selects a bus for an unscheduled route inspection. What is the probability that the selected bus is going to Bukhara or Shahrisabz?

In a Tashkent genetic centre laboratory, there are 12 scientists and 8 laboratory assistants. Four union vouchers to a holiday home are raffled among them at random. What is the probability that Samira receives one of the vouchers?

Ten school students are taking part in a recitation contest. Lots determine the order of performances. Nigora does not want to perform first or last. What is the probability that her wish comes true?

In a housing lottery, the prizes are the right to a subsidised mortgage: 5 apartments in new buildings in Tashkent, 2 houses in the suburbs, and 3 land plots for construction in Yangihayot. Participant Dilshod was told that he won the lottery. What is the probability that he did not win a land plot?

At a conference at Samarkand University, 6 talks are scheduled before lunch and 4 talks after lunch. The order of presentations is determined by drawing lots. Professor Khasanova has prepared one talk. What is the probability that she speaks before lunch?

In the old city of Bukhara there are several guides: 4 are historians by education, 3 are art historians, and 3 are journalists. A travel company assigns a guide to a tourist at random. What is the probability that Shakhnoza’s guide will be an art historian?

At the “Sumalyak” celebration in the mahalla, prizes are raffled: 8 sets of sweets, 6 suzane tablecloths, and 6 clay jugs. Umida’s ticket turned out to be a winning one. What is the probability that she won a set of sweets or a tablecloth?