Perception of Color and Words

Yesterday’s Problem:

When you throw a pair of dice, what are the chances that the number that comes up will be even?

Answer:

There are six possible even numbers that can come up : 2,4,6,8,10 and 12 – and only five possible odd numbers: 3,5,7,9 and 11. But, in spite of this, there are actually eighteen ways to throw an even number and eighteen ways to throw an odd number. So, this means the odds of an even number are indeed even.

You can easily see this by looking at the diagram below. The numbers of the two dice are listed in the top row and left most column. If you fill in the totals in the matrix, you will count 18 ways to throw an even number and 18 ways to throw an odd number. (Note that there are 36 total cells below).

1 2 3 4 5 6
1
2
3
4
5
6

Today’s Problem:

How strongly do words affect perception? Practice reading the four lines of colored words below – but instead of saying the words, say the color of each word.

Can you say more than five words in a row without making a mistake? Or three?

RED YELLOW BLUE GREEN

YELLOW BLUE GREEN RED

GREEN RED YELLOW BLUE

BLUE GREEN RED YELLOW

Rearrange the Letters

Last Problem:

How many different outcomes are possible in the toss of two coins? [Perhaps this is not so obvious as it might seem at first glance?]

Answer:

When most people think about this problem, the immediately answer that there are four possible outcomes: heads-heads, tails-tails, heads-tails and tails-heads.

But in reality, there can be a fifth possibility that mathematicians fails to acknowledge – uncountable. For example, one (or both) of the coins can land in the mud – or on a ledge – or drop down a sewer grate or be carried by an eagle in flight who caught the silvery coin it by its feet. The fifth probability of “uncountable” is not high, but it is also certain to occur occasionally.

Today’s Problem:

Can you rearrange the letters below to form one word in the space provided?

Rearrange the Two Words Below

N E W D O O R

To Make One Word