A commuter passes through thre

A commuter passes through three traffic lights on the way to work. Each light is either red, yellow, or green. An experiment consists of observing the colours of the three lights.

a. List the 27 outcomes in the sample space.

 b. Let A be the event that all the colours are the same. List the outcomes in A.

 c. Let B be the event that all the colours are different. List the outcomes in B.

d. Let C be the event that at least two lights are green. List the outcomes in C.

e. List the outcomes in A ∩ C. f. List the outcomes in A ∪ B.

f. List the outcomes in A ∪ B.

g. List the outcomes in A ∩ Cc.

h. List the outcomes in Ac ∩ C.

 I. Are events A and C mutually exclusive? Explain.

j. Are events B and C mutually exclusive? Explain.

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