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Probability Theory Prerequisites Practice

Master essential probability concepts needed for understanding stochastic processes with 8 fundamental questions covering basic probability, conditional probability, independence, and Bayes' theorem.

8
Total Questions
0
Correct Answers
0
Questions Attempted
Basic Probability
1 questions
Question 1: Rolling Even Numbers
A standard six-sided die is rolled. What is the probability of rolling an even number?...
Beginner
Not attempted
Sample Spaces
1 questions
Question 2: Sample Space Size
Two coins are tossed. What is the size of the sample space?...
Beginner
Not attempted
Conditional Probability
1 questions
Question 3: Conditional Probability Formula
Given P(A) = 0.6, P(B) = 0.4, and P(A ∩ B) = 0.2, find P(B|A)....
Intermediate
Not attempted
Addition Rule
1 questions
Question 4: Addition Rule Application
If P(A) = 0.3, P(B) = 0.5, and P(A ∩ B) = 0.1, what is P(A ∪ B)?...
Beginner
Not attempted
Complement Rule
1 questions
Question 5: Complement Probability
If the probability of rain is 0.3, what is the probability of no rain?...
Beginner
Not attempted
Bayes' Theorem
1 questions
Question 6: Bayes' Theorem with Medical Testing
A test is 95% accurate for detecting a disease. The disease affects 1% of the population. If someone...
Advanced
Not attempted
Independence
1 questions
Question 7: Independent Events
Two events A and B are independent with P(A) = 0.4 and P(B) = 0.6. What is P(A ∩ B)?...
Intermediate
Not attempted
Law of Total Probability
1 questions
Question 8: Law of Total Probability
A bag contains 3 red balls and 2 blue balls. Another bag contains 1 red ball and 4 blue balls. A bag...
Intermediate
Not attempted

Ready to Start?

Build a strong foundation in probability theory before diving into stochastic processes.