Our math lessons are designed to make math meaningful to the student. They will guide learners through mathematical concepts, breaking down each step in a clear and understandable manner. They provide a structured approach to learning math, ensuring comprehensive understanding and proficiency. Each math lesson provides in-depth instruction ideal for learners of all ages and abilities. Choose a topic below to start your adventure.
Challenge Exercises for Probability
This lesson is one of 12 in-depth lessons on Probability Theory, each aligned with the Common Core. See the screen shot below, or view our learning objectives.
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Practice Exercises for Probability
Directions: Read each question below. Select your answer by clicking on its button. Feedback to your answer is provided in the RESULTS BOX. If you make a mistake, choose a different button. 1. Which of the following is an impossible event? Choosing an odd number from 1 to 10. Getting an even […]
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Conditional Probability
Problem: A math teacher gave her class two tests. 25% of the class passed both tests and 42% of the class passed the first test. What percent of those who passed the first test also passed the second test? Analysis: This problem describes a conditional probability since it asks us to find the probability that the second test was […]
Read More Dependent Events
Experiment 1: A card is chosen at random from a standard deck of 52 playing cards. Without replacing it, a second card is chosen. What is the probability that the first card chosen is a queen and the second card chosen is a jack? Analysis: The probability that the first card is a queen is 4 out […]
Read More Independent Events
Learn About Independent Events With Example Problems And Interactive Exercises Experiment 1: A dresser drawer contains one pair of socks with each of the following colors: blue, brown, red, white and black. Each pair is folded together in a matching set. You reach into the sock drawer and choose a pair of socks without looking. You […]
Read More Addition Rule of Probability
Learn The Addition Rule Of Probability And Adding Probabilities With Example Problems & Interactive Exercises Experiment: A single 6-sided die is rolled. What is the probability of rolling a 2 or a 5? Possibilities: 1. The number rolled can be a 2. 2. The number rolled can be a 5. Events: These events are mutually exclusive since they […]
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Mutually Exclusive Events
Experiment 1: A single card is chosen at random from a standard deck of 52 playing cards. What is the probability of choosing a 5 or a king? Possibilities: 1. The card chosen can be a 5. 2. The card chosen can be a king. Experiment 2: A single card is chosen at random from […]
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Complement of an Event
Experiment 1: A spinner has 4 equal sectors colored yellow, blue, green and red. What is the probability of landing on a sector that is not red after spinning this spinner? Sample Space: {yellow, blue, green, red} Probability: The probability of each outcome in this experiment is one fourth. The probability of landing on […]
Read More Understanding and How To Find Sample Space
What is Sample Space and How to Find Sample Space Definition: The sample space of an experiment is the set of all possible outcomes of that experiment. Experiment 1: What is the probability of each outcome when a dime is tossed? Outcomes: The outcomes of this experiment are head and tail. Probabilities: P(head) = 1 2 P(tail) = 1 […]
Read More Certain and Impossible Events
Experiment 1: A spinner has 4 equal sectors colored yellow, blue, green, and red. What is the probability of landing on purple after spinning the spinner? Probability: It is impossible to land on purple since the spinner does not contain this color. P(purple) = 0 = 0 4 Experiment 2: A teacher chooses a student at random […]
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