Let E and F be events with P(E) = 5 ,P(F) = 10 and P(E F) = 5 . Are E and F independent?

.: P(E) P(F) = 5 10 = 50 5 = P(E F) Therefore, E and F are not independent.

class 12 maths probability

Let $E$ and $F$ be events with $P(E) = \cfrac{3}{5},P(F) = \cfrac{3}{{10}}$ and $P(E \cap F) = \cfrac{1}{5}.$ Are $E$ and $F$ independent?

VAVidaara Admin Asked 8d ago 0 views 0 answers

📘 Probability NCERT,EX.13.2,Q.6,Page.546 SA

Let $E$ and $F$ be events with $P(E) = \cfrac{3}{5},P(F) = \cfrac{3}{{10}}$ and $P(E \cap F) = \cfrac{1}{5}.$ Are $E$ and $F$ independent?

VVidaara Team ✓ Verified solution NCERT & Exemplar

.: $P(E) \times P(F) = \cfrac{3}{5} \times \cfrac{3}{{10}} = \cfrac{9}{{50}} \ne \cfrac{1}{5} = P(E \cap F)$

Therefore, $E$ and $F$ are not independent.

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