Learn how to find the geometric probability of an event. Given a geometric figure, we can find the geometric probability of an event by taken the area of the part of the geometric figure satisfying the event divided by the area of the...

This video covers the probability of a randomly chosen point being in a certain area of a figure. To do this, we use the formula of (desired area)/(total area). At the end of the video, we look at a 2d example of this idea - using a...

This video discusses how to find geometric probability using the formula (area of a success)/(total area). We begin by defining the geometric probability, then we look at several examples, including an example with a number line. These...

Geometric probabilities, and probabilities in general, allow us to guess how long we'll have to wait for something to happen. Today, we'll discuss how they can be used to figure out how many Bertie Bott's Every Flavour Beans you could...

👉 Learn how to find the theoretical probability of an event. Probability is the chance of an event occurring or not occurring. The probability of an event is given theoretically by the number of outcomes divided by the total possible...

In this video, we will cover geometric random variable python practice.
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This clip is from the chapter "Basics for Data Science: Mastering Probability and Statistics in Python" of the series "Data Science and Machine Learning...

In this video, we will cover geometric random variable.
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This clip is from the chapter "Basics for Data Science: Mastering Probability and Statistics in Python" of the series "Data Science and Machine Learning (Theory and...

In this video, we will cover geometric random variable normalization proof optional.
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This clip is from the chapter "Basics for Data Science: Mastering Probability and Statistics in Python" of the series "Data Science and...

The video is a lecture on simple discrete distributions. It begins with an explanation of what a discrete random variable is and gives an example using rolling a 10-sided die to illustrate the probability distribution. The video then...

In this video, we will cover sample mean.
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This clip is from the chapter "Basics for Data Science: Mastering Probability and Statistics in Python" of the series "Data Science and Machine Learning (Theory and Projects) A to...

What is the sum of a geometric series for a finite number of terms? What about an infinite number of terms? The video presents an animated proof of the famous formulas. Once you understand it, you can test yourself by solving the...

Weather in Mathland is determined by chance. If it rains on a given day, then the probability it will rain the next day increases by 10 percentage points (up to 100%). If it does not rain on a given day, then the probability it will rain...

Google asked this problem as an interview question. If the probability of seeing a car on the highway in 30 minutes is 0.95, what is the probability of seeing a car on the highway in 10 minutes? (assume a constant default probability)...

A standard dice has the 6 showing with a probability of 1/6, which is the same as every other number. A loaded dice has the 6 showing with 1/2 the probability of the other numbers. What is the probability of rolling a 6? Watch the video...

The Online Math Olympiad is a contest for high school students with challenging problem. This 2016 test had an average score of 9 out of 30. This video is an adaption of problem 16 which is an interesting probability puzzle. At the end...

This problem has been asked in job interviews. On the morning of January 1, a hospital nursery has 3 boys and some number of girls. That night, a woman gives birth to a child, and the child is placed in the nursery. On January 2, a...

A deck has 4 cards: the ace of spades, ace of clubs, 2 of spades, and the 2 of clubs. You draw 2 cards. What is the probability you drew 2 aces, if there is at least one ace? What is the probability if one of the cards is the ace of...

A needle of length 1 is randomly dropped on a floor with horizontal lines 2 units apart. What is the probability the needle intersects one of the horizontal lines? The answer might surprise you--it involves the constant π! This is known...

Fermat and Pascal played a coin flipping game. Fermat got 1 point if the coin showed heads, and Pascal got 1 point if if the coin showed tails. The first to 10 points won a prize of 100 francs. At a score of 8-7 with Fermat leading, the...

A lottery draws 5 different numbers from the numbers 1 to 60. What is the probability the numbers are all increasing or all decreasing? What if a lottery ticket draws k distinct numbers from 1 to n? Watch the video for a solution. My...

You are given a list of 5 mathematicians and have to match each to the correct birth year. But since you were never taught about these mathematicians, you do not know any of the answers. So you decide to guess randomly by matching the 5...

How can you simulate any probability from a fair coin? What if you had an unfair coin? This is a great problem from the the Putnam Exam, which has legendary difficulty: the average (median) score is usually 1 out of a possible 120...

What is the expected number of coin flips until you get two heads in a row (HH)? What is the expected number of coin flips until you get a heads followed by a tails (HT)? The video presents the solution and an intuitive explanation for...

There are 3 cards in this problem. One card is blue on both sides, another is red on both sides, and the last is red on one side and blue on the other. The cards are put in a bag and I pick one at random. Without looking at the colors on...