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  • July 30, 2023
  • Probability

Mastering Combinatorial Mathematics | Permutations, Combinations, Factorials, and Sampling Explained

events involving two or more activities In the field of mathematics, events involving two or more activities can be categorized as combinatorial problems In the field of...
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  • John Rhodes
  • July 30, 2023
  • Probability

Understanding Conditional Probability | A Guide to Calculating the Likelihood of Events Given Specific Conditions

6.probability of one event given that another has occurred The probability of one event occurring given that another has already occurred is known as the conditional probability...
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  • John Rhodes
  • July 30, 2023
  • Probability

Calculating the Probability of Two People Having the Same Birthday

What is the probability that two people selected at random have the same birthday? Ignore leap years. To calculate the probability that two people selected at random...
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  • John Rhodes
  • July 30, 2023
  • Probability

Calculating the Probability of Getting Heads-Tails-Heads in Three Coin Tosses | A Step-by-Step Guide

Three coins are tossed in succession. What is the probability of heads-tails-heads? To find the probability of a specific outcome in a coin toss experiment, we need...
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  • John Rhodes
  • July 30, 2023
  • Probability

Calculating the Probability of Getting Two Heads and One Tail in Three Coin Tosses

Three coins are tossed at once. What is the probability of two heads and one tail? To find the probability of getting two heads and one tail...
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  • John Rhodes
  • July 30, 2023
  • Probability

Calculating the Probability of Drawing a Red or White Marble from a Jar

A jar contains 3 red, 4 blue, and 5 white marbles. Which of the following is the probability of drawing either a red or a white marble?...
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  • John Rhodes
  • July 30, 2023
  • Calculus

A Step-by-Step Guide to Solving a Differential Equation using the Method of Integrating Factors – Math Tutorial

y’=x²e^x + 2xe^x To solve the given differential equation, we can use the method of integrating factors To solve the given differential equation, we can use the...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Solving a Differential Equation | Rewriting and Integrating Steps

y’=(-14x)/(x²+9)² To find a solution to this differential equation, we must first rewrite it in a form that is easier to work with To find a solution...
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