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J and K are independent events. P(J | K) = 0.1. Find P(J)

Verified Answer :

LammettHash

\(\mathbb P(J|K)=\dfrac{\mathbb P(J\cap K)}{\mathbb P(K)}=\dfrac{\mathbb P(J)\mathbb P(K)}{\mathbb P(K)}=\mathbb P(J)\)

because \(\mathbb P(J\cap K)=\mathbb P(J)\mathbb P(K)\) due to independence. So \(\mathbb P(J)=0.1\).

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