# Problems Involving AND & OR Worksheets

What Are Common AND and OR Probabilities? Probabilities are an important concept in mathematics. It helps in making predictions about outcomes such as weather, floods, games, and even lotteries. It is a form of mathematical calculation that gives us a result that shows us the chances of occurrence of a specific event. In probability, the two terms, AND, OR, play a crucial role. The correct usage of these terms determines the accuracy of the results. In probability, AND shows that the desired outcome is expected to fulfill both conditions at the same time. OR means that the desired outcome has to follow one condition at a time, or both conditions at the same time.

• ### Basic Lesson

Introduces the concept of predicting multiple chance outcomes. What is probability of getting number 1 or 4 when dice numbered from 1 to 6 is rolled?

• ### Intermediate Lesson

This lesson focuses on determining the probability of real world situations. If you randomly choose a letter in the word "HIGHEST", find the probability that you choose a T or H. Since the word contains 1 T, it means T has one possibility to be selected out of seven. Since the word contains 2 H, it means H has two possibilities to be selected out of seven. Probability of selecting T or H, P(A) = 3/7.

• ### Independent Practice 1

Students practice with 20 Problems Involving AND & OR problems. The answers can be found below. Jack has to select a pen and a pencil from 6 different pencils and blue, black, green and red colored pens. Find the probability of selecting a green colored pen and any of the given pencil.

• ### Independent Practice 2

Another 20 Problems Involving AND & OR problems. The answers can be found below. There are 4 apples, 5 oranges and 8 bananas in a basket. Use a fraction to express the probability of picking an apple or an orange from the basket.

• ### Homework Worksheet

Reviews all skills in the unit. A great take home sheet. Also provides a practice problem. From 26 letters, there are 21 letters called consonants. Find the probability of selecting a letter B or I?

• ### Skill Quiz

10 problems that test Problems Involving AND & OR skills.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Answer Key

Answers for the lesson and practice sheets.

• ### Basic Lesson

Introduces the concept of determining OR probabilities. What is probability of getting number 1 or 4 when dice numbered from 1 to 6 is rolled?

• ### Intermediate Lesson

This lesson focuses on determining the probability of choosing random objects. If you randomly choose a letter in the word "HIGHEST", find the probability that you will choose a T or H. Since the word contains 1 T, it means T has one possibility to be selected out of seven. Since the word contains 2 H, it means H has two possibilities to be selected out of seven.

• ### Independent Practice 1

Students practice with 20 Problems Involving AND & OR problems. The answers can be found below. There are 8 cherries, 3 blackberries and 6 grapes in a basket. If Jack picks a fruit at random from the basket, then what is the probability of the fruit being a cherry or blackberries?

• ### Independent Practice 2

Another 20 Problems Involving AND & OR problems. The answers can be found below. Tim has tickets numbered 1 to 21. Find the probability of picking a ticket that has a number which is an odd and a number multiple of 3?

• ### Homework Worksheet

Reviews all skills in the unit. A great take home sheet. Also provides a practice problem.

• ### Skill Quiz

10 problems that test Problems Involving AND & OR skills.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Answer Key

Answers for the lesson and practice sheets.

#### Isn't It the Same?

Why did Al want the pizza cut into 1/4 instead of 1/8?

He was going to eat it all & he could never finish 8 slices.

Did you know that probability is considered a "new" math? That's hard to believe since it has been studied since the mid-1600's - that's almost 400 years! Although that may seem like a long time, consider this: people have been using geometry for several thousand years!