SCIENCE AND EDUCATION IN THE MODERN WORLD: CHALLENGES OF THE XXI CENTURY" ASTANA, KAZAKHSTAN, FEBRUARY 2023 44 examples that experiences lead to events, and that experiments and tests are required to produce
events. The definition of "probability" served as the base for categorizing events. If we give the
likelihood of a specific event a numerical value which means giving a 1 to each specific event
and a 0 to the non-event, then each specific event corresponds to one specific numerical value
from the range (0;1).The definition of probability is formulated as:
𝑃(𝐴) =
𝑚
𝑛
,where n is the total
number of all equally possible, elementary outcomes of this trial, and m is the number of
elementary outcomes that favor the event.
For example,the outcome of tossing a coin can be either heads or tails,(n=2,m=1) since
both outcomes are simple and equally likely, they can be grouped together to represent the total
number of outcomes. The result (heads) favors the event. As per the standard definition of
probabilities:
𝑃 =
𝑚
𝑛
=
1
2
Similar to this, when a die is rolled, a complete group of elementary equally possible
outcomes may appear (n=6,m=1), and the event is favored by a single outcome (rolling a five).
As a result: :
𝑃 =
𝑚
𝑛
=
1
6
.
It's customary to use fractions of one, and it's obvious that the probability can change
within a
0 ≤ 𝑃 ≤ 1
. In addition, if
𝑃 = 0
,it is impossible, if
0 < 𝑃 < 1
it is a random event ,
and if
𝑃 = 1
, then it is reliable.
Teaching former students to "apply to stories" is beneficial, depending on the story's
theme. They are interested in the connections between events and related, contentious issues in
this area. "Event A leads to the event B," and "Event B is a component of event A" are
expressions that describe the relationship between the events (
𝐴 ⊂ 𝐵
). The concept of equal
events can be established logically based on this relationship. Euler-Venn diagrams should be
used to represent the connections between events and actions.
Using what they have learned from the theoretical articles, the students compare the
methods used in the events. Only definitions of actions used to describe events and locations can
be used to determine it. creation of a utility theory and personal data term correspondence table.
In order for students to develop their skills in the theory of experiments course, applying
actions to events and managing the properties of actions are of utmost importance. Based on
their knowledge of set theory, the students will contrast how operations on sets and events.The
only distinction between the definitions of operations applied to events and sets is one of
terminology. Consequently, it is helpful to create a table of correspondence between the terms
used in set theory and probability theory. Students' ability to solve problems from probability
theory courses is greatly influenced by how they apply operations to events and how well they
understand the properties of operations.