Question:medium

If $P(E) = \frac{1}{3}$, $P(F) = \frac{2}{5}$ and $P(E \cup F) - P(E \cap F) = \frac{1}{5}$ then $P(E \cup F)$ is equal to

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The expression $P(E \cup F) - P(E \cap F)$ represents the probability of "exactly one of the events occurring" (Symmetric Difference). Recognizing this helps visualize the problem on a Venn diagram immediately.
Updated On: Jun 6, 2026
  • $\frac{11}{15}$
  • $\frac{4}{15}$
  • $\frac{8}{15}$
  • $\frac{7}{15}$
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The Correct Option is D

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