Probability

9000154808

Level: 
A
Little John plays a dice game against Robin Hood. To win, he needs to get the sum of \(8\) by rolling two dice. What is the probability that he wins over Robin right on the first roll? Round your result to three decimal places.
\(0{.}139\)
\(0{.}194\)
\(0{.}806\)
\(0{.}778\)

9000154801

Level: 
C
There are six money transports through the Sherwood forest. Robin Hood knows that two of the transports are secured by soldiers. Find the respective probabilities that if Robin's band attacks two random transports, then none, one and both transports will be secured by the soldiers.
\(\frac{6} {15};\, \frac{8} {15};\, \frac{1} {15}\)
\(\frac{3} {9};\, \frac{5} {9};\, \frac{1} {9}\)
\(\frac{1} {3};\, \frac{2} {3};\, \frac{2} {3}\)
\(\frac{1} {2};\, \frac{1} {4};\, \frac{1} {4}\)

9000154802

Level: 
C
Three hundred soldiers know details related to the weapon transport to Nottingham. The probability that a soldier betrays the sheriff and tells the details to Robin Hood is \(0.01\) . This probability is fixed for all soldiers. Robin tries to find out the details on the transport by asking each soldier. Find the probability that Robin will find out details (i.e. at least one soldier tells the secret to Robin). Round your answer to three decimal places.
\(0.951\)
\(0.049\)
\(0.827\)
\(0.173\)

9000154803

Level: 
B
The probability that Robin Hood hits the target is \(0.83\). The same probability is \(0.61\) for Robin's fellow, Little John. Both Robin and John shot on the wolf. Find the probability that they will hit the wolf. Round your answer to three decimal places.
\(0.934\)
\(1.440\)
\(0.506\)
\(0.494\)

9000138305

Level: 
C
Two different dices (a white dice and a black dice) are rolled. We get the sum of the numbers on both dices \(6\). Find the probability that there is an even number on the black dice.
\(\frac{2} {5}=0{.}4\)
\(\frac{5} {36}\doteq 0{.}1389\)
\(\frac{5} {18}\doteq 0{.}2778\)
\(\frac{13} {36}\doteq 0{.}3611\)

9000138308

Level: 
C
Two different dices (a white dice and a black dice) are rolled. The sum of the numbers on both dices is \(8\). Find the probability that there is \(4\) on the black dice.
\(\frac{1} {5}=0{.}2\)
\(\frac{1} {4}=0{.}25\)
\(\frac{6} {36}\doteq 0{.}1667\)
\(\frac{11} {36}\doteq 0{.}3056\)

9000138309

Level: 
B
Two dices are rolled. Find the probability that we get either the same number on both dices or the sum of the numbers on both dices is \(6\).
\(\frac{10} {36}\doteq 0{.}2778\)
\(\frac{11} {36}\doteq 0{.}3056\)
\(\frac{6} {36}\doteq 0{.}1667\)
\(\frac{5} {36}\doteq 0{.}1389\)