A

2000017508

Level: 
A
We have a pack with \(54\) cards. There are exactly four aces inside. We choose two cards from the package in a random manner without putting back. What is the probability that we choose two aces? Round your answer to \(4\) decimal places.
\(0.0042\)
\(0.0370\)
\(0.0002\)
\(0.9958\)

2000017507

Level: 
A
Two dice are rolled together. Let \(A\) be the event “the product is \(4\)” and \(B\) be the event “the product is \(6\)”. Which of the following statements is true?
Event \(B\) is more likely to occur than event \(A\).
Event \(A\) is more likely to occur than event \(B\).
Events \(A\) and \(B\) have the same probability of occurrence.

2000017408

Level: 
A
Find \(\frac{K \cdot (-L)}2\), if: \[ K=\left (\array{ 3& 0 & 1\cr 2 & 3 & 4 \cr 1& -1 & 1} \right ),~ L=\left (\array{ 2& 3 & 0\cr 1 & 1 & -1 \cr 2 &0& 1 } \right ) \]
\( \left (\array{ -4& -4.5 & -0.5\cr -7.5 & -4.5& -0.5\cr -1.5 & -1& -1 } \right ) \)
\( \left (\array{ -4& 4.5 & 0.5\cr -7.5 & -4.5& -0.5\cr -1.5 & -1& -1 } \right ) \)
\( \left (\array{ -4& -4.5 & -0.5\cr 7.5 & -4.5& -0.5\cr -1.5 & -1& -1 } \right ) \)
\( \left (\array{ -4& -4.5 & -0.5\cr -7.5 & 4.5& -0.5\cr -1.5 & -1& 1 } \right ) \)