Let E and F be events of a sample space S of an experiment, if P(S|F) = P(F|F) then value of P(S|F) is __________Review Later0-11Infinity

1. Break Down the Problem

We need to analyze the given condition $P(S|F) = P(F|F)$ and find the value of $P(S|F)$.

2. Relevant Concepts

• Conditional Probability Formula: $P(A|B) = \frac{P(A \cap B)}{P(B)}$
• Since $P(F|F)$ represents the probability of event $F$ given itself, this value is always 1. Thus, $P(F|F) = 1$

3. Analysis and Detail

Given the relationship: $P(S|F) = P(F|F)$ we substitute $P(F|F)$ with 1: $P(S|F) = 1$ This tells us that knowing event $F$ has occurred guarantees that event $S$ also occurs.

4. Verify and Summarize

Since we used the definition of conditional probability correctly, and the relationship $P(S|F) = P(F|F)$ leads us directly to conclude that $P(S|F)$ must indeed be 1.

Final Answer

$P(S|F) = 1$