Probability

2000004702

Level: 
B
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?
\( \frac{3}{8} \)
\( \frac{1}{3} \)
\( \frac{1}{8} \)
\( \frac{5}{8} \)

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.)
\(0.9476\)
\(0.8574\)
\(0.9951\)
\(0.0475\)

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.)
\(66.5\,\%\)
\(96\,\%\)
\(66.4\,\%\)
\(92.2\,\%\)

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.
\(0.4034\)
\(0.5966\)
\(0.4800\)
\(0.0002\)

2010016901

Level: 
B
Two different dice (a white die and a black die) are rolled. Find the probability that we get the number \(4\) on the white die and a number different from \(4\) on the black die.
\(\frac{5} {36}\doteq 0.1389\)
\(\frac{4} {36}\doteq 0.1111\)
\(\frac{1} {6}+\frac56\,=\,1\)
\(\frac{5} {6}\doteq 0.8333\)