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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.
A: Selecting at least one red pen.
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Solution
The drawer contains 4 pens out of which one is red (R), one is green (G), one is blue (B) and the other one is purple (P).
From this drawer, two pens are selected one after the other with replacement.
∴ The sample space S is given by
S = {RR, RG, RB, RP, GG, GR, GB, GP, BB, BR, BG, BP, PP, PR, PG, PB}
A ≡ event of selecting at least one red pen
∴ A = {RR, RG, RB, RP, GR, BR, PR}
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