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.
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.
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?
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.
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?