The addition theorem of probability for two events A and B states that P(A ∪ B) = P(A) + P(B) - P(A ∩ B). This formula accounts for: MCQ with Answer and Explanation

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The addition theorem of probability for two events A and B states that P(A ∪ B) = P(A) + P(B) - P(A ∩ B). This formula accounts for:

A. The double-counting of outcomes common to both A and B

B. The complement of event A

C. The independence of events

D. The conditional probability of A given B

Answer: Option A

Solution (By JKExamLibrary)

Subtracting P(A ∩ B) corrects for the fact that outcomes in the intersection are counted twice when adding P(A) and P(B), ensuring accurate probability calculation for the union.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error

In a random experiment, the set of all possible outcomes is called:

A. Sample space

B. Trial

C. Event

D. Outcome set

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Correct Answer: Option A

Explanation:
Sample space is the collection of all elementary outcomes of an experiment.

This question belongs to: Accountancy and Statistics Statistics

Question #2 Report Error

Life expectancy at age 65 being higher than at birth indicates:

A. Improving healthcare for the elderly

B. High infant and child mortality pulling down life expectancy at birth

C. Migration of elderly into the population

D. Data error in life table construction

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Correct Answer: Option B

Explanation:
Life expectancy at birth is heavily influenced by early-life mortality; if many children die young, e₀ is low, but those surviving to 65 have already passed high-risk ages, so e₆₅ is naturally higher.

This question belongs to: Accountancy and Statistics Statistics