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Question
There are four pens: Red, Green, Blue, and Purple in a desk drawer of which two pens are selected at random one after the other with replacement. State the sample space and the following event.
B: Two pens of the same color are not selected.
Solution
If two pens are selected at random one after the other with replacement, the sample space S is given by
S = {RR, RG, RB, RP, GR, GG, GB, GP, BR, BG, BB, BP, PR, PG, PB, PP}
B : Two pens of the same colour are not selected
B = {RG, RB, RP, GR, GB, GP, BR, BG, BP, PR, PG, PB}
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