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Probability and Statistics - Counting and Probability Practice

Unit 5

This math unit starts with basic permutation concepts, teaching students to calculate the number of ways to order cards and letters without repetition, gradually advancing from three to five items. As the unit progresses, it introduces problems involving spinning a labeled spinner, first teaching students to calculate specific outcomes in multiple formats (equations, fractions, percentages), and then broadening to include calculations for any occurrence within two spins, expressed in various numerical forms. The unit deepens understanding by exploring factorial notation in probability scenarios, leading to advanced applications in combinatorics. The skills progress from foundational permutations to complex factorial operations and probability calculations involving multiple scenarios and various forms of numerical expression, reinforcing the understanding and application of probability through diverse practical examples and increasingly complex mathematical operations. Toward the end, the unit integrates the concepts of factorials more directly, culminating in practical applications related to card-drawing probabilities.

Skills you will learn include:

Foundational Units

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Learning through Game Play

At Mobius we have lots of great (and free) resources to help you learn math. To keep kids engaged, there’s nothing better than a math-powered video game! Try out a Mobius game mapped to Probability and Statistics - Counting and Probability Practice.

This math topic focuses on converting factorials into their respective multiplication strings, a specific skill within the...

This math topic focuses on calculating the probability of specific outcomes from a spinner, particularly the likelihood of...

This math topic focuses on the foundational concepts of probability and counting, specifically in determining the number...

This math topic focuses on calculating the number of distinct ways to order 4 cards without repetitions, showing each calculation...

This math topic focuses on calculating the probabilities of specific outcomes involving spinning wheels. The problems require...

This topic focuses on calculating the probability of successive outcomes using a spinner. The problems require computing...

This math topic focuses on calculating the probability of specific outcomes when spinning a labeled spinner twice consecutively....

This math topic focuses on calculating the probability of different ways to order a set of 4 letter tiles without repetition....

This math topic focuses on permutations and combinations, specifically dealing with the probability of ordering a set of...

This math topic explores probability calculations using spinners. Students practice determining the likelihood of obtaining...

This math topic focuses on calculating the probability of outcomes related to spinning a labeled spinner twice consecutively,...

This math topic focuses on calculating probabilities of specific outcomes when spinning a labeled spinner multiple times....

This math topic focuses on the permutations and combinations involved in ordering a set of four cards without repeats. Each...

This math topic focuses on calculating the number of distinct ways to order three cards with no repetitions, presented as...

Probability - Coins (2), At Least One Specific, To Fraction Equation (Level 1)

Topic 15

This math topic focuses on probability problems involving coin tosses, specifically looking at the probability of flipping...

Exercises for this topic are done in Unit Mastery.

Probability - Dice (2), Specific Roll in 2 Tries, To Fraction (Level 1)

Topic 16

This math topic focuses on probability calculations involving rolling dice, particularly delving into finding the probability...

Exercises for this topic are done in Unit Mastery.

This math topic focuses on calculating the probability of specific outcomes when spinning a spinner twice. Problems involve...

This topic covers probability skills, focusing on calculating the likelihood of various outcomes when a spinner is used twice....

This topic focuses on calculating the probability of specific outcomes when spinning a spinner twice. It involves determining...

This math topic focuses on calculating the probability of certain outcomes occurring at least once in two spins of a spinner,...

Probability - Coins (2), At Least One Specific, To Fraction (Level 1)

Topic 21

This math topic focuses on calculating the probability of flipping at least one specific outcome when tossing multiple coins....

Exercises for this topic are done in Unit Mastery.

Probability - Dice (2), Specific Roll in 2 Tries, To Fraction (Level 1)

Topic 22

This math topic focuses on probability related to dice rolling, specifically the computation of the likelihood of rolling...

Exercises for this topic are done in Unit Mastery.

This math topic is centered on calculating the probability of specific outcomes when spinning a spinner two times. It focuses...

This math topic focuses on probability involving spinning scenarios. The problems require calculating the probability of...

This math topic focuses on calculating the probability of specific outcomes in spinner events, iterating over a scenario...

This math topic focuses on calculating probabilities involving spinners over two spins. Specifically, it challenges students...

This math topic focuses on the concept of permutations in probability and statistics. It specifically deals with calculating...

This math topic focuses on evaluating factorial expressions, specifically single factorials over bracketed multiplications...

This math topic focuses on practicing the calculation of factorial expressions involving division and multiplication. Questions...

This math topic focuses on computing factorial expressions, specifically those in the form of "1 over a bracketed term factorial."...

This math topic focuses on calculating factorial expressions in the form of 1 over a factorial, such as \( \frac{1}{n!} \)....

This topic focuses on practicing factorial division in the context of probability and statistics. The problems involve finding...

This math topic focuses on practicing the calculation of factorial expressions combined with bracketed multiplication. Specifically,...

This math topic focuses on solving factorial expressions, particularly utilizing simple division. It's an introductory level...

This math topic focuses on practicing the calculation of factorial expressions. It is designed for beginners and is part...

This math topic focuses on the skill of determining the number of ways to arrange 5 distinct letter tiles using permutation...

This math topic focuses on calculating the number of distinct ways to order a set of 4 letters without repetition, using...

This math topic focuses on calculating the number of distinct ways to order a set of 5 letter tiles, with no repetitions....

This math topic focuses on calculating the number of distinct ways to order a set of three letters with no repetitions, and...

This math topic focuses on probability and specifically explores different ways to order a set of 3 distinct cards without...

This math topic focuses on calculating factorials, specifically involving their values to solve problems (Level 1 difficulty)....

This math topic focuses on calculating factorial expressions, specifically those where a single factorial is divided by a...

This math topic focuses on calculating factorial expressions in the context of probability and statistics. It primarily deals...

This math topic focuses on practicing the calculation of factorial expressions. The problems involve evaluating the value...

This math topic explores the conversion from string multiplications to factorial division expressions, strengthening skills...

This topic focuses on the mathematical skill of simplifying factorial expressions, specifically through converting factorial...

This math topic focuses on practicing the calculation of factorial expressions, specifically those containing subtraction...

This math topic focuses on the calculation of factorial expressions through simple multiplication and is designed for an...

This math topic focuses on understanding how to calculate the number of distinct ways to order sets of letter tiles, where...

This math topic focuses on calculating the number of distinct ways to order sets of 5 cards, each configuration without repetitions....

This topic covers the concept of permutations in probability, specifically focusing on calculating the number of distinct...

This math topic focuses on foundational concepts in probability and statistics, specifically concerning permutations and...

This topic explores the conversion of simple multiplication sequences into their factorial equivalents, rooted in concepts...

This math topic focuses on practicing probability calculations using spinners. The problems involve figuring out the probability...