Suppose that events E and F are independent, P (E) equals=0.40.4 , and P (F) equals=0.90.9. What is the Upper P left parenthesis Upper E and Upper F right parenthesisP (E and F) ?

The probability of E and F is 0.367236 ≅ 0.367

Step-by-step explanation:

* Lets study the meaning independent probability

- Two events are independent if the result of the second event is not

affected by the result of the first event

- If A and B are independent events, the probability of both events

is the product of the probabilities of the both events

- P (A and B) = P (A) · P (B)

* Lets solve the question

- There are two events E and F

- E and F are independent

- P (E) = 0.404

- P (F) = 0.909

∵ Events E and F are independent

- To find P (E and F) find the product of P (E) and P (F)

∴ P (E and F) = P (E) · P (F)

∵ P (E) = 0.404

∵ P (F) = 0.909

∴ P (E and F) = (0.404) · (0.909) = 0.367236 ≅ 0.367

* The probability of E and F is 0.367236 ≅ 0.367