Probability

2010015503

Level: 
B
Four participants of a target shooting competition do hit the target with hitting probabilities: 0.82; 0.86; 0.90 and 0.94. What is the probability that at least one of the participants does not hit the target? Round the result to four decimal places.
0.4034
0.5966
0.4800
0.0002

2010015502

Level: 
B
A set of Christmas tree lights contains 10 identical bulbs connected in parallel. Each of the bulbs has the reliability of 96%. 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.)
66.5%
96%
66.4%
92.2%

2010015501

Level: 
B
Three identical light bulbs are connected to the battery as shown in the electrical circuit diagram. The reliability of each of the bulbs is 0.95. What is the probability that the current flows through the circuit? Round the result to 4 decimal places. (Note: Reliability is the probability that the component will perform its intended function.)
0.9476
0.8574
0.9951
0.0475

2000004705

Level: 
A
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?
16
13
23
36=12

2000004704

Level: 
A
There is a wooden cube with faces painted in green. Its edge is 3cm long. Imagine we cut the cube into small unit cubes with the edge length of 1cm and we select one of the unit cubes at random (see the picture). What is the probability of selecting an unpainted cube?
127
327=19
0
16

2000004703

Level: 
A
There is a wooden cube with faces painted in green. Its edge is 3cm long. Imagine, we cut the cube into small unit cubes with the edge length of 1cm 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?
827
727
427
627=29