Question

Suppose that events E and F are independent, P(E) = 0.3, and P(F) = 0.9. What is the P(E and F)?

Answer 1

The probability of both independent events E and F occurring is 0.27, calculated by multiplying their individual probabilities.

Step-by-step explanation:

If events E and F are independent, the probability of both E and F occurring (notated as P(E and F)) is the product of their individual probabilities. This is a fundamental property of independent events.

To find P(E and F), just multiply P(E) by P(F):

P(E and F) = P(E) × P(F) = 0.3 × 0.9 = 0.27

Therefore, the probability of both events E and F occurring is 0.27.