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On Planet Geometry, whenever two right angles have children

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On Planet Geometry, whenever two right angles have children they can have rectangles or squares with equal probability each. Consider a (very nice) pair of right angles that have 2 children.

a. Draw a tree diagram of the possible sequence of births. (First draw the branches for the first child, and then draw the branches for the second child).

b. Using a tree diagram, what is the probability that both children are squares given that at least one is a square? (It is not 1/2!)

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On Planet Geometry, whenever two right angles have children

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