Address this question and more as you explore methods for counting how many possible outcomes there are in various situations. Learn about factorial, permutations, and combinations, and look at …

The probability of an outcome in a sample space is a number between 0 and 1 inclusive. The sum of the probabilities of all the outcomes in a sample space must be 1.

Jul 14, 2023 · There are times when the sample space is very large and is not feasible to write out. In that case, it helps to have mathematical tools for counting the size of the sample space. These tools …

To decide "how likely" an event is, we need to count the number of times an event could occur and compare it to the total number of possible events. Such a comparison is called the probability of the …

Example • Find the probability that : / A six rolls of a (six-sided) die all give different numbers.

It’s a powerful tool that helps you calculate possible outcomes before diving into probability formulas. In this guide, we’ll break down the essentials, explain the product and sum rules, and walk through …

Fundamentals of counting and probability, including casework, multiplication, permutations, combinations, Pascal's triangle, probability, combinatorial identities, and the Binomial Theorem.

In this lesson, we will learn various ways of counting the number of elements in a sample space without actually having to identify the specific outcomes. The specific counting techniques we will explore …

It is easier to count the number of outcomes that do not have at least two heads and then subtract this from the total number of outcomes. These outcomes will have no heads or exactly one head.

In order to apply the equal-likely outcome model (the f/N rule) to calculate the probability of a certain event, we need to determine N (the number of all possible outcomes) and f (the number of ways we …