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Tracy picks a random shape. 7 pentagons 3 triangles 8 trapezoids. what is the probability that she picks a 4 sided shape?

1 Answer

5 votes

Answer:

5/6

Explanation:

Step 1: Determine the total number of four-sided shapes:

We know that pentagons are five-sided, triangles are three sides and trapezoids are four-sided. However, pentagons have at least five sides and therefore we include them since they have at least four sides. Thus, there are 15 four-sided shapes present among all the shapes Tracy has as 7 + 8 = 15.

Step 2: Determine the total number of shapes present:

Now we must add up the total number of shapes Tracy has:

7 + 3 + 8

10 + 8

18

Thus, Tracy has a total of 18 shapes.

Step 3: Divide the total number of four-sided shapes by the total number of shapes to determine probability of picking a four-sided shapes:

15/18

5/6

Thus, the probability that Tracy picks a shape with at least four sides is 5/6.

If this answer is wrong, it is possible that your teacher wants to know the probability of picking a shape with only four sides. Then you'd write 4/9 as you'd only include the trapezoids since only they have just four sides while the pentagons also have four sides but also an additional side:

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