Games, Mathematics

Games, Mathematics:Probability Puzzles Outrageous 9/18 (solved 9)


Incremental Update

Probability puzzle is available on google app store:

it comprises of 3 levels of difficulty:


  1. Foxes multiplied by hounds divided by the total 5*7/12
    Answer: 5*7/12
  2. It’s every permutation of two different digits I used E (east) and N (north), were there is 7 E and 4 N which equals 330
    Answer: 330
  3. 1 minus all possible ways for the mouse to reach the trap multiplied by the ways to get from the trap to the cheese divided by 330 equals 1-6*21/330
    Answer: 1-6*21/330
  4. Ok, so this one is a little tricky, first you can see that train B will be there in 3 minutes no matter what happens with train A. So if Train A does not arrive in 3 minutes or less then the average is 1.5 minute wait time which occurs 2/5 of the time. Now if Train A does make it in the firs 3 minutes then the average wait time between both trains is 1 minute which occurs 3/5 of the time. So the equation is (1.5*2/5)+(1*3/5)
    Answer: (1.5*2/5)+(1*3/5)
  5. There us 13 positions possible to make a couple, 13 seats, with 5 men, and 8 women in a round table.
    Answer: 13*(8/13*5/12+5/13*8/12)
  6. Same as the top question except we lose possible chance to make a couple.
    Answer: 12*(8/13*5/12+5/13*8/12)
  7. There is no correlation, however since it’s those in college the high math or English skills allow you in without the other so it becomes -0.5
    Answer: -0.5
  8. Answer:
  9. This is almost exactly the same question as getting serious question 18. Not only can it be done the exact same way but it also uses the same number so it is the same answer (1/3)*(1/3)
    Answer: (1/3)*(1/3)
  10. Answer:
  11. This is another logic question, the answer is 1
    Answer: 1
  12. Answer:


That is the progress so far.

don’t forget to check the earlier levels: Getting serious

Thanks for Ralph for keep these answers coming.

Language, Mathematics

Language, Mathematics: 5 reasons makes Chinese language great for learning mathematics


In Chinese language, the way numbers are constructed make it very easy to mentally make addition, multiplication, fraction (division).

  1. Base 10: there is no Eleven, Twelve, There is (Ten, One).
  2. Addition: by extension of the way numbers are said, makes it easy to make addition.
  3. Multiplication: there are fewer words said in multiplication.
    English: 3 multiplied by 5 equals fifteen
    Chinese: Three Fives Fifteen
  4. Fraction: the abstract nature of fraction makes it hard to explain to a child, in Chinese a fraction is simplified: out of 100 take 1 (1/100)
  5. the Digit repetition: in English based on thousand (ten thousand, hundred thousand, thousand thousand is a million)
    in Chinese: the repetition is based on Ten thousand.

Watch this video, I have been looking for someone to explain the phenomenon to me… And there he is, Jerry Liu.

Law, Politics, Public Concern

Law, Politics, Public concern: USA Constitution, list of Amendments.

In the wake of the shocking school shooting in Parkland in Florida, the gun control debate in USA reinvigorated.

As I am not an American, I hear a lot about the second amendment and the American constitution in the news, after such incidents.

Just to be clear, I am not not debating the second amendment or the repercussions of its infringement or enforcing stricter gun laws, I would like to introduce a list of the 28 amendments of the USA constitution, with a promise that, in the future, I will write about the constitution in more details.

Continue reading

Critical Thinking

Critical Thinking: Socratic questions revisited [infographic]

Infographic illustrating the 6 types of Socratic Question to stimulate critical thinking

A little over a year ago, I wrote a blog post examining Socratic Questions. Socratic Questions are a method of pull influencing that can be used to stimulate critical thinking. To help make the question types easier to understand and remember for use in practice, I have gone back and created an infographic illustrating the 6 types of questions.

The infographic is shown below



R. W. Paul, L. Elder: The Thinkers Guide to The Art of Socratic Questioning, 2007