Ace the CXC CSEC Math Test 2026 – Multiply Your Success and Conquer Math Magic!

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 $12.50Unlock all

Session length

1 / 20

If P(A) = 0.4 and P(B) = 0.5, what is P(A and B) if events A and B are independent?

0.1

0.2

When dealing with independent events in probability, the probability of both events occurring is calculated by multiplying their individual probabilities. In this scenario, you have events A and B with probabilities P(A) = 0.4 and P(B) = 0.5, respectively.

Since A and B are independent, the probability of both A and B happening simultaneously, denoted as P(A and B), can be found using the formula:

P(A and B) = P(A) × P(B)

Substituting the given values into the formula:

P(A and B) = 0.4 × 0.5

This calculation results in:

P(A and B) = 0.2

Therefore, the correct probability of both independent events A and B occurring together is 0.2. This demonstrates the principle of independence in probability, where the occurrence of one event does not affect the occurrence of another.

0.4

0.5