Understand conditional probability and connect independence to unchanged conditional probabilities.
Find a conditional probability from P(A and B) and P(B)
Problem
Use \(P(A|B)=P(A\cap{}B)/P(B)\) to calculate the conditional probability from \(0.18\) and \(0.30\).
Big Picture
What this problem is really about
Conditional probability divides the joint probability by the probability of the conditioning event. We’ll place those quantities in their correct numerator-denominator roles, substitute the decimals, scale to an integer fraction, reduce it, and multiply by the conditioning probability to recover the original joint value.
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