Test: Probability I - Normal

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Question 1:   The box fits 15 different items:   7 pencils and 8 pens. 3 pencils and 5 pens are taken off the box randomly. How many elementary consequences are possible here?
C 7 3 × C 8 5
C 7 3 + C 8 5
8!
C 15 8
Question 2:   During the exam session, professor graded his students' tests. Out of 100 students, 15 got "A", 28 got "B", 40 got "C", 17 students failed the test. What was the probability p A not to fail this test?
0.83
0.17
0.15
0.5
Question 3:   There are 6 blue and 9 red pens in the box. What is the least amount of pens you should randomly pick to pick a blue pen with guarantee?
10
15
6
1
Question 4:   A group of scientists are providing an experiment on simultaneous tossing of 5 coins. The result of the experiment is the final amount of tails that will drop out. How many possible consequences can be at the end of this experiment?
3
10
6
5
Question 5:   After some calculations, it was determined that the probability of hitting the target is 25% . Is it possible that after 100 shots there will be 98 hits?
Yes, only if number of hits will increase.
Yes
No
Yes, only if probability of hitting the target is increased.
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