Let E and F be events with and

MATHEMATICS · Subjective · A Level · Mathematics · Probability · Probability

Problem

6. Let E and F be events with

\mathrm{P}(\mathrm{E})=\frac{3}{5}, \mathrm{P}(\mathrm{F})=\frac{3}{10}

and

\mathrm{P}(\mathrm{E} \cap \mathrm{F})=\frac{1}{5}

. Are E and F independent?