Respuesta :
Answer: a) P(E given F) = P(F)
Step-by-step explanation: Since P(F) is needed to complete the other side of the equation, it is not independent.
The only option that is not equivalent to the statement that events E and F are independent events is;
Option A; P(E given F) = P(F)
To answer this question, we need to understand independent events. Independent events are those events that are not affected by the probability of other events happening. Thus, let us access the options to know the correct statements;
- Option A; P(E given F) = P(F); What this means is that the probability of getting event E when we are given event F is the probability of getting Event F. This means that Event E is dependent on Event F.
- Option B; P(E given F) = P(E); What this means is that the probability of getting event E when we are given event F is the probability of getting Event E. This means that event E is independent of event F.
- Option C; P(E and F) = P(E)×P(F); This means probability of getting event E and event F is the product of the independent probabilities each event occurring. Thus, event E and event F are both independent.
- Option D; P(F given E) = P(F); What this means is that the probability of getting event F when we are given event E is Event F. This means that event F is independent of event E.
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