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A bag contains papers with 5 figures: prism, cone, cylinder, cube, and pyramid. The figures are replaced after each selection.

Draw a sample space to find the probability that the two selected figures are a cone and a cylinder.

Sagot :

MrRoyal

The sample space is the total possible outcomes of an experiment

The probability of selecting a cone and a cylinder is 2/25

How to determine the probability

The figures are given as: prism, cone, cylinder, cube, and pyramid

Given that the figures are replaced, after each selection; the sample space is:

S = {Prism Prism, Prism Cone, Prism Cylinder, Prism Cube, Prism Pyramid, Cone Prism, Cone Cone, Cone Cylinder, Cone  Cube, Cone Pyramid, Cylinder Prism, Cylinder Cone, Cylinder Cylinder, Cylinder Cube, Cylinder Pyramid, Cube Prism, Cube Cone, Cube Cylinder, Cube Cube, Cube Pyramid, Pyramid Prism, Pyramid Cone, Pyramid Cylinder, Pyramid Cube, Pyramid Pyramid}

The above sample space has 25 outcomes, where 2 of the outcomes are a cone and a cylinder.

So, the probability of selecting a cone and a cylinder is:

[tex]Pr = \frac 2{25}[/tex]

Hence, the probability of selecting a cone and a cylinder is 2/25

Read more about probability at:

https://brainly.com/question/25870256

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