Answer:
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
