Friday, 29 April 2022

Sangster Math, April 29, 2022

 April 29, 2022

- 50 numbers in Lotto Max

- to win the first price, you must get 7 numbers right

 

1/50, 1/49, 1/48, 1/47, 1/46, 1/45, 1/44

(find the product of these fractions and you know that the chance of winning is very slim.

You will have a better chance to hit by lightning than to win the Lotto Max

 

 

- tell your parents or grandparents not to waste money to play the Lotto. The chance of winning is very small

 

Next lesson: Ontario Licence Plates

- how many Ontario Licence plates are there in this province?

 

Old plates till about 2018 (6 slots, white background with blue letters/numbers)

 

____, ____, ____,                     ____, ____, ____, 

Numbers only                          Letters only

(0 to 9, can repeat)                  (A to Z, can repeat)

 

e.g. 123 ABC     or 007 AAP (reusing 0 and A)             or 656 BBB 

 

To calculate how many old Ontario plates there are,

 

_10_, _10_, _10_,                    _26_, _26_, _26_,

 

(0,1,2,3,4,5,6,7,8,9) – ten numbers can fit in the first slot

There are 26 letters in the English alphabet

A license plate with blue and white text

Description automatically generated with low confidence

Total old plates: 10 x 10 x 10 x 26 x 26 x 26 = about 17.5 million

 

 

In 2018, Ontario ran out of licence plates (for cars, trucks, vans, SUV)

 

Think of five ways to deal with this problem

Ontario eliminating licence plate renewal fees and stickers - South Muskoka  Doppler

1)    Add an extra slot (put one more letter)

26 x 26 x 26 x 26 x 10 x 10 x 10 = 456.7 mil

 

2)    Ontario's New License Plates Have A Problem: You Can't Read Them : NPRPersonal plates, CAR4U or KWOK8

(8 in Chinese means wealth or money

Can be all letters

4 – in Chinese mean ‘die’

Kwok’s brother has a licence plate of 164

- extra $250 per year

 

3) Change the background colour to blue, white text

What is the significance of Ontario's red license plates? - Quora4) Background colour can be red 

(diplomats – officals working for another country)

 

5) Mix the letters and numbers

(each slot has a total combination of 26 + 10 = 36)

 

e.g. A3B5 C6F

Red Heart Free Stock Photo - Public Domain Pictures

6) Add symbols to the plates, e.g. I U

 

Some symbols cannot be used ! (look a lot like the letter I), #, ?, $ (S)

 

Your job is to find how many licence plates in Yukon, NWT, PEI, California

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