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Assume you have a group of twelve ping-pong balls numbered from 1-12. Let us define three events as follows: Event A: A randomly selected ball

Assume you have a group of twelve ping-pong balls numbered from 1-12. Let us define three events as follows:
Event A: A randomly selected ball has an odd number on it.
Event B: A randomly selected ball has a multiple of 3 on it.
Event C: A randomly selected ball has a number greater than 7 on it.
Answer the following questions related to probability of the above described events for a SINGLE trial:
a. P(A) = (Remember this is asking,"What is the probability that a randomly selected ball meets Event A's description?")
b. P(C) =
c. P(B or C) =
d. P(A and B) =
e. P(not C) =
f. P(B given A) =
g. Describe the complement of Event C.
h. From the 3 events listed above (Events A, B, & C), is any pair mutually exclusive? Explain your answer.
A large university has a group of 40 ambassadors who give tours to prospective students who visit the campuos. How many ways can 4 ambassdors be chosen from the group of 40 ambassadors?
In assigning seats for a classroom, how many ways can a teacher place 5 students in the front row from her roster of 30 students?

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