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A child is drawing a rainbow using a box of ten different colored crayons, which include the seven required colors. After drawing the red, orange,

A child is drawing a rainbow using a box of ten different colored crayons, which include the seven required colors. After drawing the red, orange, yellow, and green arcs in the proper order, she forgets the last three colors. From the remaining six crayons, she chooses three at random to finish drawing the rainbow. What is the probability that she correctly finishes the ROYGBIV rainbow?

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