Question: A number between 1 and 30 is chosen randomly. We would like you to: a. Define the sample space. b. What is the probability of

A number between 1 and 30 is chosen randomly. We would like you to:

a. Define the sample space.

b. What is the probability of this number being divisible by 3?

c. What is the probability of this number being a multiple of 5?

d. What is the probability of this number being divisible by 3 or a multiple of 5?

e. What is the probability of this number being even, given that it is a multiple of 5?

f. What is the probability of this number being a multiple of 5, given that it is divisible by 3? g. What is the probability of this number not being divisible by 3? h. Assuming that two numbers are chosen randomly, what is the probability of the first number being a multiple of 5 and the second one an odd number?

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