According to a recent survey of adults, approximately 62% carry cash on a regular basis. The adults were also asked if they have children. Of the 46% who have children, 85% carry cash on a regular basis. Is carrying cash independent from having children in this sample?

Carrying cash is independent of having children only if the probability of carrying cash is the same for adults with children as it is overall. The survey gives P(carry cash) = 62% and P(carry cash | have children) = 85%. Since 62% ≠ 85%, the events are not independent. Choice B says they are not independent because these probabilities differ.

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