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Two workshops were offered to math teachers in a local school district. 25% of the math...

Two workshops were offered to math teachers in a local school district. 25% of the math teachers attended the Common Core (CC) workshop, 40% of the math teachers attended the Professional Learning Communities (PLC) workshop, and 10% of the math teachers attended both workshops.

a) What is the probability a teacher attended the PLC workshop given that they attended the CC workshop?

b) What is the probability a teacher attended the CC workshop given that they attended the PLC workshop?

c) Are “attend the CC workshop” and “attend the PLC workshop” independent? Explain.

d) What is the probability a teacher did not attend the PLC workshop given that they did not attend the CC workshop?

e) What is the probability a teacher attended the CC workshop or the PLC workshop?

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