If two events A and B are independent with P(A)=1/2 and P(B)=1/3, 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

Master the Praxis Mathematics (5165) Test. Enhance your skills with flashcards and practice questions, each with detailed explanations. Ace your exam confidently!

Multiple Choice

If two events A and B are independent with P(A)=1/2 and P(B)=1/3, what is P(A ∩ B)?

Explanation:
When two events are independent, the chance both happen is the product of their individual probabilities. So P(A ∩ B) = P(A) × P(B) = (1/2) × (1/3) = 1/6. This value, 1/6, is the correct result. The other numbers come from misapplying rules or thinking the events aren’t independent, but independence is precisely what lets you multiply the probabilities.

When two events are independent, the chance both happen is the product of their individual probabilities. So P(A ∩ B) = P(A) × P(B) = (1/2) × (1/3) = 1/6. This value, 1/6, is the correct result. The other numbers come from misapplying rules or thinking the events aren’t independent, but independence is precisely what lets you multiply the probabilities.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy