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how to write a formula for the statement the probability that John owns a dog given that Sally own a dog is 0.6...
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Let J be the event 'John owns a dog' and let S be the event 'Sally owns a dog'. The probability that John owns a dog given that Sally owns a dog can be written as: \[\large P(J|S)\]
And then you would P(J/S)=P(A intercept B)/S correct?
\[\large P(J|S)=\frac{P(J \cap S)}{P(S)}=0.6\]
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