Two independent events have probabilities 0.4 and 0.25. What is the probability that both occur?

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

Study for the ATandT Information Test. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

Two independent events have probabilities 0.4 and 0.25. What is the probability that both occur?

Explanation:
For independent events, the chance both happen is the product of their probabilities. Since the events don’t affect each other, you multiply: 0.4 × 0.25 = 0.10. So the probability that both occur is 0.10. The other numbers would reflect only one event occurring or a misstep like adding probabilities, which isn’t appropriate here. If the events weren’t independent, you’d use P(A and B) = P(A) × P(B|A), but independence makes P(B|A) equal to P(B).

For independent events, the chance both happen is the product of their probabilities. Since the events don’t affect each other, you multiply: 0.4 × 0.25 = 0.10. So the probability that both occur is 0.10. The other numbers would reflect only one event occurring or a misstep like adding probabilities, which isn’t appropriate here. If the events weren’t independent, you’d use P(A and B) = P(A) × P(B|A), but independence makes P(B|A) equal to P(B).

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy