Master probability theory fundamentals with 10 comprehensive questions covering classical probability, event operations, independence, Bayes' theorem, and real-world applications.
10
Total Questions
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Correct Answers
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Questions Attempted
Classical Probability
1 questions
Question 1: Standard Deck Probability
In a standard deck of 52 cards, what is the probability of drawing a red card?...
Beginner
Not attempted
Event Operations
1 questions
Question 2: Addition Rule Application
If P(A) = 0.3, P(B) = 0.4, and P(A ∩ B) = 0.1, what is P(A ∪ B)?...
Intermediate
Not attempted
Independence
1 questions
Question 3: Independent Events Multiplication
If events A and B are independent with P(A) = 0.2 and P(B) = 0.5, what is P(A ∩ B)?...
Beginner
Not attempted
Bayes' Theorem
1 questions
Question 4: Medical Test Accuracy
A medical test has 95% sensitivity and 90% specificity. If 1% of the population has the disease, wha...
Advanced
Not attempted
Combinatorial Probability
1 questions
Question 5: Binomial Coefficient Calculation
In 10 tosses of a fair coin, what is the probability of getting exactly 6 heads?...
Intermediate
Not attempted
Probability Axioms
1 questions
Question 6: Axiom Violations
Which of the following is NOT a requirement for a valid probability distribution?...
Beginner
Not attempted
Conditional Probability
2 questions
Question 7: Multiplication Rule
If P(A|B) = 0.8 and P(B) = 0.3, what is P(A ∩ B)?...
Beginner
Not attempted
Question 8: Drawing Without Replacement
A box contains 5 red balls and 3 blue balls. Two balls are drawn without replacement. What is the pr...
Intermediate
Not attempted
Geometric Probability
1 questions
Question 9: Area Ratio Method
In a geometric probability problem, a point is randomly chosen in a circle with radius 4. What is th...
Intermediate
Not attempted
Expected Value
1 questions
Question 10: Binomial Distribution Mean
If X follows a binomial distribution with n = 20 and p = 0.3, what is E[X]?...
Beginner
Not attempted
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