Four participants of a target shooting competition do hit the target with hitting probabilities: ; ; and . What is the probability that at least one of the participants does not hit the target? Round the result to four decimal places.
A set of Christmas tree lights contains identical bulbs connected in parallel. Each of the bulbs has the reliability of . What is the probability (expressed as a percentage) that all of the bulbs will glow? Round the result to one decimal place. (Note: Reliability is the probability that the system will perform its intended function.)
Three identical light bulbs are connected to the battery as shown in the electrical circuit diagram. The reliability of each of the bulbs is . What is the probability that the current flows through the circuit? Round the result to decimal places. (Note: Reliability is the probability that the component will perform its intended function.)
A distracted secretary prepares three envelopes and types three different letters for three different people. Then she randomly places the letters in the prepared envelopes. What is the probability of at least two recipients receiving the right letter?
There is a wooden cube with faces painted in green. Its edge is long. Imagine we cut the cube into small unit cubes with the edge length of and we select one of the unit cubes at random (see the picture). What is the probability of selecting an unpainted cube?
There is a wooden cube with faces painted in green. Its edge is long. Imagine, we cut the cube into small unit cubes with the edge length of and we select one of the unit cubes at random (see the picture). What is the probability of selecting a unit cube with three faces painted in green?
A part of a rectangle drawn on the wall is painted in yellow (see the picture). Imagine a bee landing on a random spot of the rectangle. What is the probability of the bee landing on the yellow part?