Question

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

Answer 1

`\mathbb P(J|K)=(\mathbb P(J\cap K))/(\mathbb P(K))=(\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`.