**Question 1:**
The box fits $\text{\hspace{0.17em}}15\text{\hspace{0.17em}}$
different items: $7$
pencils and $\text{\hspace{0.17em}}8\text{\hspace{0.17em}}$
pens. $\text{\hspace{0.17em}}3\text{\hspace{0.17em}}$
pencils and $\text{\hspace{0.17em}}5\text{\hspace{0.17em}}$
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 $\text{\hspace{0.17em}}100\text{\hspace{0.17em}}$
students, $\text{\hspace{0.17em}}15\text{\hspace{0.17em}}$
got "A", $\text{\hspace{0.17em}}28\text{\hspace{0.17em}}$
got "B", $\text{\hspace{0.17em}}40\text{\hspace{0.17em}}$
got "C", $\text{\hspace{0.17em}}17\text{\hspace{0.17em}}$
students failed the test. What was the probability $\text{\hspace{0.17em}}p\left(A\right)\text{\hspace{0.17em}}$
not to fail this test?

**Question 3:**
There are $\text{\hspace{0.17em}}6\text{\hspace{0.17em}}$
blue and $\text{\hspace{0.17em}}9\text{\hspace{0.17em}}$
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 $\text{\hspace{0.17em}}5\text{\hspace{0.17em}}$
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 $\text{\hspace{0.17em}}25\%\text{\hspace{0.17em}}$
. Is it possible that after $\text{\hspace{0.17em}}100\text{\hspace{0.17em}}$
shots there will be $\text{\hspace{0.17em}}98\text{\hspace{0.17em}}$
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 $\text{\hspace{0.17em}}11\text{\hspace{0.17em}}$
?

**Question 7:**
In the batch of $\text{\hspace{0.17em}}100\text{\hspace{0.17em}}$
produced bricks, $\text{\hspace{0.17em}}5\text{\hspace{0.17em}}$
are defective. What is the when all $\text{\hspace{0.17em}}8\text{\hspace{0.17em}}$
randomly picked bricks would be non-defective?

**Question 8:**
A basketball player shoots three-pointers with probability of $\text{\hspace{0.17em}}40\%\text{\hspace{0.17em}}$
to the basket. What is the probability that he will hit only one time of three shots?

**Question 9:**
Jack has $\text{\hspace{0.17em}}10\text{\hspace{0.17em}}$
cards and Bill has $\text{\hspace{0.17em}}8\text{\hspace{0.17em}}$
. In how many ways they can exchange $\text{\hspace{0.17em}}2\text{\hspace{0.17em}}$
Jack's cards for $\text{\hspace{0.17em}}2\text{\hspace{0.17em}}$
Bill's cards?

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