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Chapter 1: Q7. (page 36)

One of the polygons below is chosen at random. Find each probability.

P (Triangle)

Short Answer

Expert verified

The probability of choosing a triangle is 12.

Step by step solution

01

Step 1. State the formula.

The formula for the probability of an event is PE=nT, where E denotes the event, P(E) denotes the probability of the event E, n denotes the number of favorable outcomes and T denotes the total number of outcomes.

02

Step 2. List the given data.

The collection of polygons in the given figure contains 3 triangles, 1 square, 1 rectangle and 1 pentagon.

03

Step 3. Explanation.

The event is 鈥渃hoosing a triangle鈥�.

The collection of polygons in the given figure contains 3 triangles, 1 square, 1 rectangle, and 1 pentagon.

Since the collection of polygons contains 3 triangles, n=3.

The total number of polygons in the collection is 3+1+1+1=6. Then, T=6.

04

Step 4. Calculate the probability.

Put E:triangle, n=3and T=6in PE=nTto get,

Ptriangle=36=12

So,

Ptriangle=12

The probability of choosing a triangle is 12.

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