#2131 - Hard Probability puzzle

Three people enter a room and have a green or blue hat placed on their head. They cannot see their own hat, but can see the other hats.
The color of each hat is purely random. They could all be green, or blue, or any combination of green and blue.
They need to guess their own hat color by writing it on a piece of paper, or they can write 'pass'.
They cannot communicate with each other in any way once the game starts. But they can have a strategy meeting before the game.
If at least one of them guesses correctly they win $50,000 each, but if anyone guess incorrectly they all get nothing.
What is the best strategy?

Hard Probability puzzle

Simple strategy: Elect one person to be the guesser, the other two pass. The guesser chooses randomly 'green' or 'blue'. This gives them a 50% chance of winning.


Better strategy: If you see two blue or two green hats, then write down the opposite color, otherwise write down 'pass'.

It works like this ('-' means 'pass'):

Hats: GGG, Guess: BBB, Result: Lose
Hats: GGB, Guess: --B, Result: Win
Hats: GBG, Guess: -B-, Result: Win
Hats: GBB, Guess: G--, Result: Win
Hats: BGG, Guess: B--, Result: Win
Hats: BGB, Guess: -G-, Result: Win
Hats: BBG, Guess: --G, Result: Win
Hats: BBB, Guess: GGG, Result: Lose

Result: 75% chance of winning!

#2132 - Poem Puzzle

I am the black child of a white father, a wingless bird, flying even to the clouds of heaven. I give birth to tears of mourning in pupils that meet me, even though there is no cause for grief, and at once on my birth I am dissolved into air. What am I?

Poem Puzzle

Smoke

#2133 - Simple Math Puzzle

At my favorite fruit stand,
an orange costs 18¢,
a pineapple costs 27¢,
and a grape costs 15¢.
Using the same logic, can you tell how much a mango costs?

Simple Math Puzzle

15¢ The cost is equal to 3¢ for each letter in the fruits name.

#2134 - Nothing Riddle

I am weightless, but you can see me. Put me in a bucket, and I'll make it lighter. What am I?

Nothing Riddle

A Hole

#2135 - Maths Number Puzzle

Can you make four (4) nines (9) equal 100 ?

Maths Number Puzzle

99+9/9 = 100

#2136 - Childhood Riddle

What's the only room from which no one can enter or leave

Childhood Riddle

Mushroom

#2137 - Youngest Age Puzzle

Kareena is older than Katrina and younger than Karishma. Isabelle is younger than Bipasha and Karishma. Bipasha is older than Karishma. If Kareena and Isabelle are the same age, who's youngest?

Youngest Age Puzzle

Katrina is the youngest

#2138 - Puzzle Of Maths

In a stable there are men and horses. In all, there are 22 heads and 72 feet. How many men and how many horses are in the stable

Puzzle Of Maths

14 horses and 8 men.

If, A --> men and B --> horses

So, A + B = 22 and 2A + 4B = 72
2 (22 - B) + 4 B = 72
44 - 2 B + 4 B = 72
44 + 2 B = 72
2 B = 72 - 44 = 28
B = 14 (horses)


So, there are in the stable 8 men and 14 horses.

#2139 - Whos the Youngest Puzzle

Bipasha is older than Kareena and Karishma. Katrina is older than Karishma and younger than Kareena. If Kareena has a brother named Lucian, who is older than Bipasha, who's youngest?

Whos the Youngest Puzzle

Karishma

#2140 - Puzzle Of Math

At a local village gala, the entire population turned up, 500 people. The event raised £3,000. Tickets were priced as follows:
£7.48 men
£7.12 women
£0.45 children.
How many men,women and children were there?

Puzzle Of Math

149 men , 259 women & 92 children