1. A bag contains 12 red checkers and 6 black checkers. You will randomly select two checkers, one at a time, without replacement.

(a) In how many ways can you select two checkers so that at least one of the checkers is red? List the ways.
(b) What is the probability that you select a black checker and then a red checker? Show your work.

1 answer

(a) 6 combinations of Red/Black and 3 combinations of Red/Red

(b) There is a 6/18 chance for a Black Checker being drawn so 1/3.

There is a 12/18 chance for a Red Checker being drawn so 2/3.

(If you draw a black first then the chance of drawing a red drops to 12/17 because a black checker is removed from play.)
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