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1. Alice and Bob are taking a math class with final grades A, B or C. The probability that Alice gets a Bis 0.3 and the probability that Bob gets a B is 0.4. The probability that neither gets an A but at least one gets a B is 0.25. What is the probability that at least one gets a B but neither gets a C?Hint: Write down the sample space Sand consider the events E = {Alice gets a B} and F = {Bob gets a B}. What are E ∩ F and E ∪ F?

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