WBJEE · Maths · Probability
If \(E\) and \(F\) are two independent events with \(P(E)=0.3\) and \(P(E \cup F)=0.5\), then \(P(E / F)-P(F / E)\) equals
- A \(\frac{2}{7}\)
- B \(\frac{3}{35}\)
- C \(\frac{1}{70}\)
- D \(\frac{1}{7}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{70}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { } P(E \cup F)=P(E)+P(F)-P(E \cap F) \\ & \Rightarrow 0.5=0.3+P(F)-P(E) \cdot P(F) \\ & \Rightarrow 0.2=P(F)-0.3 P(F) \\ & \Rightarrow P(F)=\frac{2}{7} \end{aligned}\) So,…
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