Update pages/1_Introduction to Probability.py

pages/1_Introduction to Probability.py

@@ -7,19 +7,19 @@ st.subheader("1.Experiment",divider="red")
 multi = '''Experiment is defines as it is a test or procedure which are carried out to discover something randomly .
 It is a process to discover possible outcomes that specific outcome of the experiment cannot be predicted with certainty beforehand, as it depends on chance i.e., randomness
 
-Randomness - The outcome is not certain and is determined by chance'''
+---> Randomness - The outcome is not certain and is determined by chance'''
 st.markdown(multi)
 
 multi = '''**Example**:
 
 An exit poll is conducted where a random sample of voters is surveyed as they leave polling stations to ask how they voted
 
-Experiment - Randomly surveying 100 voters from the population
+---> Experiment - Randomly surveying 100 voters from the population
 
-Test/Procedure - If three candidates(A,B and C) are running, each voter can either vote for A, B or C. 
+---> Test/Procedure - If three candidates(A,B and C) are running, each voter can either vote for A, B or C. 
 So that for 100 voters there are many possible combinations of votes (assuming 50 votes for A, 30 for B, and 20 for C)
 
-Outcome - Percentage of voters supporting each candidate is recorded
+---> Outcome - Percentage of voters supporting each candidate is recorded
 
 Using the poll results, they estimate the probability of each candidate winning in the election which helps to predict the overall outcomes.'''
 st.markdown(multi)
@@ -28,25 +28,25 @@ st.subheader("2.Random Experiment",divider="red")
 
 multi = '''If the experiment is said to be random it should follow 2 conditions inorder to become the random experiment
 
-Condition-1 : After the experiment the result should have more than one outcome/discovery
+**Condition-1 : After the experiment the result should have more than one outcome/discovery**
 
-Condition-2 : We can't interpret what is the outcome of experiment prior - the outcome can't be interpreted
+**Condition-2 : We can't interpret what is the outcome of experiment prior - the outcome can't be interpreted**
 
 As the above 2 conditions are followed or satisfied by the experiment it is known as Random Experiment.
 
-Uncertainty : The outcome is unpredictable'''
+---> Uncertainty : The outcome is unpredictable'''
 st.markdown(multi)
 
 multi = '''
 **Example** 
 
-Experiment : Measuring the blood pressure of randomly selected individuals from a population to study hypertension
+---> Experiment : Measuring the blood pressure of randomly selected individuals from a population to study hypertension
 
-Random Experiment : The experiment involves measuring the blood pressure of a randomly selected group of people, ensuring that the sample represents the broader population.
+---> Random Experiment : The experiment involves measuring the blood pressure of a randomly selected group of people, ensuring that the sample represents the broader population.
 
-Outcome : Each individual’s blood pressure is measured, and the results are recorded to identify how many participants fall within normal and hypertensive ranges.
+---> Outcome : Each individual’s blood pressure is measured, and the results are recorded to identify how many participants fall within normal and hypertensive ranges.
 
-Uncertainity : Each person’s blood pressure reading is unknown beforehand, and the variation in results across individuals represents the randomness of this experiment
+---> Uncertainity : Each person’s blood pressure reading is unknown beforehand, and the variation in results across individuals represents the randomness of this experiment
 
 By analyzing the data, they can estimate the prevalence of hypertension in the population and develop strategies.'''
 st.markdown(multi)
@@ -54,35 +54,35 @@ st.markdown(multi)
 st.subheader("3.Trial",divider="green")
 multi = '''Trial is defined as a single execution of a random experiment.Each trial results in one outcome from a set of possible outcomes
 
-Repetitive: Trials can be repeated multiple times under the same conditions.
+---> Repetitive: Trials can be repeated multiple times under the same conditions.
 
-Uncertain Outcome: The specific outcome of each trial cannot be predicted in advance.
+---> Uncertain Outcome: The specific outcome of each trial cannot be predicted in advance.
 
-It is simply a result between input and output'''
+**It is simply a result between input and output**'''
 st.markdown(multi)
 
 multi = '''**Example:**
 
-Trial : Conducting a trial involves randomly selecting individual voters and asking them whom they plan to vote 
+---> Trial : Conducting a trial involves randomly selecting individual voters and asking them whom they plan to vote 
 
-Analysis : Possible outcomes include the names of all candidates
+---> Analysis : Possible outcomes include the names of all candidates
 
-Outcome: Each voters response provides insight into their preferred candidate, but the exact choice of each individual cannot be predicted in advance'''
+---> Outcome: Each voters response provides insight into their preferred candidate, but the exact choice of each individual cannot be predicted in advance'''
 st.markdown(multi)
 
 st.subheader("4.Outcome",divider="green")
 multi = '''It is the result of a trial for a random experiment.
 
-Specific Result : An outcome represents a particular result from the experiment
+---> Specific Result : An outcome represents a particular result from the experiment
 
-Randomness : The occurrence of any specific outcome cannot be predicted with certainty before the trial is conducted'''
+---> Randomness : The occurrence of any specific outcome cannot be predicted with certainty before the trial is conducted'''
 st.markdown(multi)
 
 multi = '''**Example:**
 
-Experiment: Conducting a survey where individual voters are asked whom they plan to vote for in an upcoming election
+---> Experiment: Conducting a survey where individual voters are asked whom they plan to vote for in an upcoming election
 
-Possible Outcomes:
+---> Possible Outcomes:
 
 Vote for Candidate A: If a voter indicates they plan to vote for Candidate A, that is one specific outcome.
 
@@ -94,21 +94,21 @@ st.markdown(multi)
 st.subheader("5.Sample Space",divider="violet")
 multi = '''Sample Space is defined as the set of all the possible outcomes of a random experiment.
 
-Comprehensive : It includes every possible outcome of an experiment
+---> Comprehensive : It includes every possible outcome of an experiment
 
-Defined: The sample space is specific to the particular experiment being conducted
+---> Defined: The sample space is specific to the particular experiment being conducted
 
-Can be Finite or Infinite: Depending on the nature of the experiment the sample space can have a finite number of outcomes (like rolling a die) or an infinite number (like measuring time).
+---> Can be Finite or Infinite: Depending on the nature of the experiment the sample space can have a finite number of outcomes (like rolling a die) or an infinite number (like measuring time).
 
-As the trial increases the sample space also increases.'''
+**As the trial increases the sample space also increases.**'''
 st.markdown(multi)
 multi = '''**Example:**
 
-Experiment: Predicting the weather for the next day based on data and models.
+---> Experiment: Predicting the weather for the next day based on data and models.
 
-Sample Space: The possible outcomes might include conditions such as:
+---> Sample Space: The possible outcomes might include conditions such as:
 
-S = {Sunny, Rainy, Cloudy, Snowy, Windy}'''
+            S = {Sunny, Rainy, Cloudy, Snowy, Windy}'''
 st.markdown(multi)
 
 st.subheader("6.Event",divider="violet")
@@ -125,12 +125,12 @@ st.markdown(multi)
 
 multi = '''**Example:**
 
-Experiment : A lottery involves drawing 5 numbers from a pool of 50 numbers (1 to 50)
+---> Experiment : A lottery involves drawing 5 numbers from a pool of 50 numbers (1 to 50)
 
-Sample Space : Set of all the possible outcomes
+---> Sample Space : Set of all the possible outcomes
             S = {All combinations of 5 numbers from 1 to 50}
 
-Event : Let E be the event of drawing at least one even number
+---> Event : Let E be the event of drawing at least one even number
 
 This event includes any combination of 5 numbers that contains at least one even number