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ml-recall

#events

2 questions from Probability

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Question 1: Short answer

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Events A\mathcal{A} and B\mathcal{B} have P(A)=0.7P(\mathcal{A}) = 0.7 and P(B)=0.5P(\mathcal{B}) = 0.5, and nothing else is known about them. What is the smallest possible value of P(A∩B)P(\mathcal{A} \cap \mathcal{B})?

a probability