In these worksheets, students will learn to calculate probability and express it in multiple forms.

Probability is the study of chance. The probability of something happening can be expressed in multiple forms, as either a decimal, a percentage, or a fraction. You can compute a probability in terms of ratios. Since any ratio can be converted into a fraction, percentage, or decimal, this means that any probability can be easily converted into a decimal, fraction, or percentage. For example, when you roll a number cube, the probability of getting a "3" is: P(3) = favorable outcomes : total outcomes. P(3) = 1:6s You can write the same probability as a fraction simply by rewriting the two numbers in the ratio as the numerator and denominator of a fraction. Here’s how you can do this: P(3) = 16 Now to express this fraction as a decimal, you may divide the numerator by the denominator. 1/6 = 0.1666. The answer is 0.1666... or 0.167. To express this decimal as a percentage, multiply the decimal by 100. Then, move the decimal point two places to the right to show the percent. % = 0.167×100. % = 16.7. The answer is 16.7%. The decimal 0.167 is equal to 16.7%. To sum up, the probability of rolling a 3 with a number cube is 1 out of 6 and can be expressed in the forms explained above.

In these worksheets, students will practice calculating probability. They will express probability in the form of a decimal. They will express probability in the form of a percentage. They will express probability in the form of a fraction. Some problems may require that students convert the answer from one form to another. This set of worksheets contains lessons, step-by-step solutions to sample problems, both simple and more complex problems, a review, and a quiz. It also includes ample worksheets for students to practice independently. When finished with this set of worksheets, students will be able to recognize basic properties of a parabola by studying its equation. These worksheets explain how to calculate probability as a decimal, a fraction, and a percentage. Sample problems are solved and practice problems are provided.



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Calculating Probability as a Decimal, Fraction, and Percentage Worksheets

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Calculate Probability as a Decimal Lesson

What is probability of getting an ace if a two card is picked up from a well shuffled pack of 52 cards?

Worksheet

A jar contains 12 red and 15 violet marbles. A marble is drawn at random. Probability (red).

Practice

Students will practice calculating probability as a decimal. Ten problems are provided.

Review Page 1

This sample problem is solved for you: What is probability of getting an ace if one card is picked up from a well shuffled pack of 52 cards?

Review Page 2

You will work to solve problems like this: A number from 40 to 50 is drawn at random. P (42, 44, 46).

Quiz

Students will demonstrate their proficiency with this concept for sure. Ten problems are provided.

Check

Students will calculate probability as a decimal. Three problems are provided, and space is included for students to copy the correct answer when given.

Lesson

We will go over all the steps that are needed. Step 1: Number of cases favoring the event of selecting total number of different ways. Step 2: Divide the number of ways to choose a red marble (57) by the total number of marbles (98).

Calculate Probability as a Fraction Worksheet

You will solve problems like: There are 11 marbles in a bag and 4 of them are green. If one marble is chosen, what is the probability that it will be green.

Worksheet 2

You will be solving problems like this: There are 60 balls in a bag and 25 of them are green. If one ball is chosen, what is the probability that it will be green.

Review and Practice

This sample problem is solved: What are the chances of number less than or equal to six in single throw of a die? Six practice problems are provided.

Quiz

Students will demonstrate their proficiency calculating probability as a fraction. Ten problems are provided.

Check

A number from 55 to 85 is drawn at random. P (a number divisible by 15). How would you solve this?

Calculate Probability as a Percentage Lesson

This worksheet explains how to calculate probability as a percentage. A sample problem is solved, and two practice problems are provided.

Worksheet

Remember that one card out of 52 cards can be selected in 52 different ways.

Practice

Students will practice calculating probability as a percentage. Ten problems are provided.

Review Page 1

Out of these 6 cases two cases will favor the event selecting the number 2 and 5.

Review Page 2

Students will csolve problems like: A number from 22 to 44 is drawn at random. P (a even number).

Quiz

Students will demonstrate their proficiency with certain skills. Ten problems are provided.

Check

Students will calculate probability as a percentage. Three problems are provided, and space is included for students to copy the correct answer when given.