Probability

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.

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.
\(0.0042\)
\(0.0370\)
\(0.0002\)
\(0.9958\)

2000017510

Level: 
A
The probability that an accident occurs in a cloudy day is two times greater than in a sunny day. There were \(20\) sunny days and \(10\) cloudy days in April. In this month exactly one accident happened. What is the probability that this accident occurred in a sunny day?
It is the same as in a cloudy day.
It is greater than in a cloudy day.
It is smaller than in a cloudy day.
It is \(\frac14\).