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Posts tagged with probability

A space bus was heading your way!

April2

Launched in 2011, Tiangong 1 was China’s first space station, serving as an experimental platform for bigger projects. The European Space Agency forecast that the bus-sized station, whose name translates as “Heavenly Palace,” would re-enter sometime this morning NZT. The Chinese space agency said it should happen during the course of today Beijing time. Based […]

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A Baby is Born 1 min into the New Year – What are the odds?

January1

As fireworks were fired off from Auckland’s Sky Tower to welcome 2018, the country welcomed the first baby of the new year. The healthy baby boy, weighing 3.5kg, was born at Auckland Hospital at 12.01am to a Howick couple on the first day of the new year. There are 526,600 minutes in a year, meaning […]

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Jesus the Messiah? What are the odds, mathematically?

December7

What are the Odds? Professor of mathematics, Peter Stoner (June 16, 1888 – March 21, 1980), gave 600 students a math probability problem that would determine the odds for one person fulfilling eight specific prophecies. (This is not the same as flipping a coin eight times in a row and getting heads each time.) First […]

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An Introduction to Probability ppt

November25

Here is a helpful Introduction to Probability, including the Monty Hall problem (The Monty Hall problem is a brain teaser, in the form of a probability puzzle, loosely based on the American television game show Let’s Make a Deal). Adapted from an unknown source. Probability Intro-1i2cn0v

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Dice Cricket – how will your team go?

July26

There are several variations of using dice to investigate chance and statistics. In this version, which works well in Junior High, students captain a cricket team and have a total of 11 players. Each player scores runs by rolling the die and using the number rolled to equal their runs. You can keep adding up […]

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Maths from the Monty Hall of Fame

July14

Monty Hall (left) was a game show host on “Let’s Make a Deal” who offered contestants a brand new car. All they had to do was choose the lucky door out of 3 possibilities. There was, clearly a 33.3% chance of choosing the car, right? Yes…right! However, after you chose a door, Monty Hall would, […]

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Spring is coming, but how do plants know?

February17

Spring is sprung The grass is riz I wonder where the Math is! Yes, there lies a puzzle. How do plants know it is time to blossom and accept that spring has arrived? As Bill Finch said, in a recent article on the Mathematics of Spring, “You won’t find your spring on a calendar. There […]

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Lightning and Lotteries – What are the odds?

November23

The Mathematics of Probability is a fascinating one, and every day we take our chances in a variety of different situations (actually, some of our students take big chances every day, simply by running around corners without looking!). Impossible means a probability of 0; while certainty is a probability of 1.0 – that is, every […]

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Winning the Lottery – what are the chances?

September21

By the numbers (adapted from The New Zealand Herald) Lotto balls: 40 Balls needed to win Lotto: 6 Powerball balls: 10 Most common Powerball number drawn: 2 Biggest jackpots • Biggest Powerball jackpot: $34.8 million in 2011 (shared by two players). • Biggest individual Powerball prize: $28 million in 2010 (won by a single player). • […]

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Mathematics on Trial

May2

An interesting article from the BBC shows the importance of Mathematical probability in courtroom trials: Read the full article on how Mathematics was used to overturn convictions here.

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Post Support

Largest number between o and 1 million which does not contain the ‘n’ is 88

 

Rotation SAT Problem: Answer: 4 (see: https://www.youtube.com/watch?v=FUHkTs-Ipfg)

 

Which number has its letters in alphabetical order? Answer: F O R T Y

Hidden Rabbit? Clue: check the trees

How long for the stadium to fill? 45 minutes.

Where are you? the North Pole

Prize Object Puzzle: If Sue does not know where the prize is in the first question, it can’t be under the square. She must have been told it is under another shape. Apply this same logic to Colin. It is then obvious that the prize cannot be under a yellow object. That helps Sue eliminate her yellow shapes. Got the idea?

Algebra Puzzle: Answer = 1

Popular Math Problems Answers: 1, 1

Number of tabs? According to Lifehacker, the ideal number of tabs you should have open is nine. Yes, a single digit. To some, this is like playing a piano and only using a fraction of the notes!

Worst Graph? Where to start. What a visual mess and even some of the lines merge and are impossible to follow. A graph is a visual display of data, with the goal to identify trends or patterns. This is a spider’s web of information which fails to show a clear pattern at all. Solution? Well, different colors would help, or why not group in two or three graphs where trends are similar?

Number of different nets to make a cube is eleven – see this link

Homework Puzzle; The total value of the counters is 486, so halve this to get 243. Now, arrange the counters to equal this amount twice.

The graph on the left (Coronavirus) is for a time period of 30 days, while the one on the right (SARS) is for 8 months! Very poor graphical comparison and hardly relevant, unless it is attempting to downplay the seriousness of the coronavirus?

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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