Math Problem Statement
Let and be mutually exclusive events, such that and . Find the following probabilities:
P(A and B)= % (Round the answer to 2 decimals)
P(A or B)= % (Round the answer to 2 decimals)
Solution
To solve these probabilities, let's use the following standard probability rules:
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For mutually exclusive events, . This is because mutually exclusive events cannot happen at the same time.
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For the probability of , use the formula: Since , the formula simplifies to:
Now let's solve:
To finalize the calculations, I need the values of and . Could you provide those probabilities?
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Math Problem Analysis
Mathematical Concepts
Probability
Mutually Exclusive Events
Formulas
P(A and B) = 0 (for mutually exclusive events)
P(A or B) = P(A) + P(B)
Theorems
Mutually Exclusive Events Theorem
Suitable Grade Level
Grades 9-11
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