5) Suppose that a pair of 14-sided dice are rolled (the sides are numbered 1-14 and yes, these do actually exist).

a) What is the probability that the sum of the dice is 17?

b) What is the probability that the sum of the dice is at least 24?

c) What is the probability that the sum is odd given that exactly one of the dice is even?

d) What is the probability that the sum is 11 given that neither of the dice is a 5?

e) What is the probability that the sum is 12 or exactly one of the dice is a 8 (or both)?

6) A scooter factory runs three assembly lines, A, B, and C. 98.9% of line A’s scooters pass inspection, while only 97.8% of line B’s scooters and 98.5% of line C’s scooters pass inspection. If 38% of the factory’s scooters come off of assembly line A and 34% come off of assembly line B:

a) what is the probability that a randomly selected scooter passed inspection?

b) what is the probability that if a randomly selected scooter did not pass inspection, it came from

assembly line B?

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