Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. Some are scented and some are unscented. If she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel.For the events "shower gel” and "scented” to be independent, what must be shown to be true?

For two events to be independent, knowing that one occurred must not change the probability of the other. Since P(shower gel) = 42%, independence requires P(shower gel | scented) to also equal 42%. Thus, the condition is P(shower gel | scented) = 42%; choice D instead sets the probability of scented given shower gel to 42%, which need not equal the overall probability of scented.

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