Probability

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.
\(\frac{6} {15},\, \frac{8} {15},\, \frac{1} {15}\)
\(\frac{3} {9},\, \frac{5} {9},\, \frac{1} {9}\)
\(\frac{1} {3},\, \frac{2} {3},\, \frac{2} {3}\)
\(\frac{1} {2},\, \frac{1} {4},\, \frac{1} {4}\)

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 \(6\).
\(\frac{10} {36}\doteq 0{.}2778\)
\(\frac{11} {36}\doteq 0{.}3056\)
\(\frac{6} {36}\doteq 0{.}1667\)
\(\frac{5} {36}\doteq 0{.}1389\)

9000138302

Level: 
B
Two dices are rolled. Find the probability that we get either at least one number \(6\) or the sum of the numbers on both dices is \(8\).
\(\frac{14} {36}\doteq 0{.}3889\)
\(\frac{16} {36}\doteq 0{.}4444\)
\(\frac{11} {36}\doteq 0{.}3056\)
\(\frac{5} {36}\doteq 0{.}1389\)