You Have Seven Cards, Numbered 3 Through 9, and You

question 35

Short Answer

You have seven cards, numbered 3 through 9, and you pick one at random. If you pick a card with a prime number, you get 1 point; if you pick a card with a composite number, you lose 1 point. Find the expected value of the number of points you get.

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Definitions:

Blended Family

A family unit where parents and their children from previous relationships live together as a single household.

Family of Orientation

The family into which an individual is born or adopted, contributing significantly to their initial socialization and development.

Cluttered/Crowded Nest

A situation in which adult children continue living at their parents' home, leading to a household that is more crowded than the typical family unit.

Multigenerational

Involving or affecting several generations within a family or community, often with respect to living arrangements or workplace dynamics.