A box contains only pens, pencils, and pads. If an item is randomly se

The event of selecting a pencil is mutually exclusive to the event of selecting a pad. Therefore, the probability of selecting a pencil or a pad will be the cumulative of the two probabilities.

From statement I, we know the probability of selecting a pad, but not for the pencil. Statement I is insufficient.
Answer options A and D can be eliminated. Possible answer options are B, C or E.

From statement II we know that the probability of selecting a pen is \(\frac{1}{3}\). Therefore, the cumulative probability of selecting a pencil or a pad = 1 – \(\frac{1}{3}\) = \(\frac{2}{3}\).
Statement II is sufficient. Answer options C and E can be eliminated.

The correct answer option is B.

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