If P(A|B) = 0.25 and P(B) = 0.3, what is P(A ∩ B)?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards

From $24.99Unlock all

Enhance your understanding of Descriptive Statistics and Probability. Study with interactive questions and detailed explanations. Prepare effectively for your test!

Multiple Choice

If P(A|B) = 0.25 and P(B) = 0.3, what is P(A ∩ B)?

The key idea is how conditional probability relates to the intersection. P(A|B) tells you the chance A occurs given that B has happened. To find the probability that both A and B occur, multiply by the probability of B: P(A ∩ B) = P(A|B) × P(B).

Here, P(A|B) = 0.25 and P(B) = 0.3, so P(A ∩ B) = 0.25 × 0.3 = 0.075. This means there is a 7.5% chance that both events happen.

If you imagine 1,000 trials, about 300 have B, and among those, 25% have A as well, which gives roughly 75 occurrences, or 75/1000 = 0.075.

If P(A|B) = 0.25 and P(B) = 0.3, what is P(A ∩ B)?

Enhance your understanding of Descriptive Statistics and Probability. Study with interactive questions and detailed explanations. Prepare effectively for your test!

If P(A|B) = 0.25 and P(B) = 0.3, what is P(A ∩ B)?

Get the latest from Examzify