7-113 b.
Sandy has a square, equilateral triangle, rhombus, and regular hexagon in her Shape Bucket, while Robert has a
scalene triangle, kite, isosceles trapezoid, non-special quadrilateral, and obtuse isosceles triangle in his. Sandy
will randomly select a shape from her Shape Bucket, while Robert will randomly select a shape from
his. Homework Help
Who has a greater probability of selecting an equilateral shape? Justify your conclusion.

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MrRoyal MrRoyal · Answer 1 · 2021-09-20T17:50:46+02:00

An equilateral shape is a shape that has all congruent sides.

Sandy has a greater probability of selecting an equilateral shape

Given

Sandy: Equilateral triangle, Rhombus, and Regular hexagon

Robert: Scalene triangle, Kite, Isosceles trapezoid, Non-special quadrilateral, and Obtuse isosceles triangle

All three shapes in Sandy's shape bucket are equilateral.

So, the probability that Sandy picks an equilateral shape is 1

All five shapes in Robert's shape bucket are non-equilateral.

So, the probability that Robert picks an equilateral shape is 0

By comparing the probabilities:

1 is greater than 0

Hence, Sandy is more likely to pick an equilateral shape than Robert.