Question 1203254: A number is picked at random from the digits 1, 2, ..., 9. Given that the number is a multiple of 3, find the probability that the number is
(a) even,
(b) a multiple of 4.
Answer by ikleyn(52800)   (Show Source):
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A number is picked at random from the digits 1, 2, ..., 9.
Given that the number is a multiple of 3, find the probability that the number is
(a) even,
(b) a multiple of 4.
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(a) The space of events consists of 9 elements (all with the uniform probability of 1/9}.
The reduced set, where you are looking for, consists of 3 elements {3, 6, 9 }.
The set of favorable elements is {6}, consisting of 1 element.
The probability is the ratio P =  . ANSWER
(b) In this case, the space of favorable elements is EMPTY.
Therefore, the probability is 0 (zero). ANSWER
Solved.
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