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?

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 $p\left(A\right)$ not to fail this test?

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?

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?

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?

Question 6:   Two six-sided dices are being tossed at the same time - blue one and yellow one. What is the probability that the sum of numbers on both dices will be $11$ ?

Question 7:   In the batch of $100$ produced bricks, $5$ are defective. What is the when all $8$ randomly picked bricks would be non-defective?

Question 8:   A basketball player shoots three-pointers with probability of $40\%$ to the basket. What is the probability that he will hit only one time of three shots?

Question 9:   Jack has $10$ cards and Bill has $8$ . In how many ways they can exchange $2$ Jack's cards for $2$ Bill's cards?

Question 10:   What is the probability of that the randomly named natural number would be negative?