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 $\frac{1}{2}$ .

Step by step solution

Step 1. State the formula.

The formula for the probability of an event is $P (E) = \frac{n}{T}$ , 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.

Step 2. List the given data.

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

Step 3. Explanation.

The event is “choosing a triangle”.

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, $T = 6$ .

Step 4. Calculate the probability.

Put $E : triangle$ , $n = 3$ and $T = 6$ in $P (E) = \frac{n}{T}$ to get,

$P (triangle) = \frac{3}{6} = \frac{1}{2}$

So,

$P (triangle) = \frac{1}{2}$

The probability of choosing a triangle is $\frac{1}{2}$ .

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One of the polygons below is chosen at random. Find each probability.
P (Triangle)

Short Answer

Step by step solution

Step 1. State the formula.

Step 2. List the given data.

Step 3. Explanation.

Step 4. Calculate the probability.

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One of the polygons below is chosen at random. Find each probability.P (Triangle)

Short Answer

Step by step solution

Step 1. State the formula.

Step 2. List the given data.

Step 3. Explanation.

Step 4. Calculate the probability.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Probability and Statistics

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

One of the polygons below is chosen at random. Find each probability.
P (Triangle)