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A bag contains papers with 3 shapes: triangle, circle, and square. The shapes are replaced after each selection.

Draw a sample space to find the probability that the two selected shapes are a triangle and a square.

Respuesta :

Using the sample space and probability concepts, it is found that there is a [tex]\frac{2}{9}[/tex] probability that the two selected shapes are a triangle and a square.

What is the sample space of an experiment?

The sample space is the set that contains all possible outcomes for an experiment.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, considering:

  • T for triangle.
  • C for circle.
  • S for square.

The sample space is:

T - C

C - T

T - S

S - T

T - T

C - C

C - S

S - C

S - S

  • There are 9 possible outcomes.
  • Of those, 2 (T - S and S - T) involve a triangle and a square, hence:

[tex]p = \frac{2}{9}[/tex]

There is a [tex]\frac{2}{9}[/tex] probability that the two selected shapes are a triangle and a square.

You can learn more about sample space at https://brainly.com/question/25861936

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