Suppose that you have a bag containing 10 balls numbered from 0 to 9. You draw 3 of them randomly without replacement and note the result as a 3−digit number. (a) What is the probability that your number contains only even digits or that the first ball you draw is a one? (b) What is the probability the number you get has at least 1 odd digit and does not start with a 1?

Question

Suppose that you have a bag containing 10 balls numbered from 0 to 9. You draw 3 of them randomly
without replacement and note the result as a 3−digit number.
(a) What is the probability that your number contains only even digits or that the first ball you draw is
a one?
(b) What is the probability the number you get has at least 1 odd digit and does not start with a 1?

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