Mind Teasers : Hard Probability Question

Difficulty Popularity

Imagine a situation in your mind. You are playing a coin game with your friend where you have pre-decided the sequence that you require. The coin is fair and you both keep tossing it till you get the desired sequence.

The predefined sequence for you is H T H.
The predefined sequence for your friend is H T T.

You keep tossing the coin and writing it down till you get the required sequence. You play several games and at the end, the one with the average score less will win.

Game 1 result:
You: H T T H T H
Your score: 6
Your friend: H T H H H T H H T T
Your friends' score: 10

Game 2 result:
You: T T H T T H H T H
Your score: 9
Your friend: T T H H T H T T
Your friends' score: 8

Game 3 result:
You: T T H H T H
Your score: 6
Your friend: H H T H T T
Your friends' score: 6

Now, after playing 3 games, your score is 7 (average) and your friend's score is 8 (average). Assume that you keep playing like this for several many games, what of the following outcomes are you expecting at the end?
a) Your average score is lower and you win.
b) Your friend's average score is lower and he wins.
c) Both have equal scores and the match ties.
category : PROBABILITY

Suggestions

Mind Teasers : Inspector Montalbano Mystery Puzzle

Difficulty Popularity

Before going to work, Inspector Montalbano got into the fight with his wife. After coming back from the work he found out that the police was in the home and his wife had just killed a burglar.
The police told that she killed the burglar in self-defense. She told her husband the story that she heard a doorbell and thought that it was me and as soon as she opened the door, the burglar jumped into her and she was so scared that she killed burglar immediately with the knife. Inspector Montalbano asked the police to arrest her wife for murder conspiracy. Why?
category : LOGIC | MYSTERY

Mind Teasers : Quick Thinking Maths Problem

Difficulty Popularity

A petri dish kept in a lab has a colony of healthy bacteria. Every bacterium divides itself into two in exactly two minutes. Now the colony started with a single cell at 2 pm. If the petri dish was exactly half full of bacteria at 3 pm, when will the dish become full of bacteria?

Mind Teasers : Survive The Fire Brain Teaser

Difficulty Popularity

Isaac Newton is stranded on an island covered in forest.

One day, when the wind is blowing from the west, lightning strikes the west end of the island and sets fire to the forest. The fire is very violent, burning everything in its path, and without intervention the fire will burn the whole island, killing the man in the process.

There are cliffs around the island, so he cannot jump off.

How can the Isaac Newton survive the fire? (There are no buckets or any other means to put out the fire)

Mind Teasers : Decipher MatchSticks Puzzle

Difficulty Popularity

Can you decipher the two rows to find the hidden word?

Mind Teasers : Base Ball Games Cryptarithmetic Riddle

Difficulty Popularity

Can you solve the below cryptarithmetic riddle
by replacing alphabets of words by a number so that the algebraic equation holds true?

BASE +
BALL
------
GAMES
------
category : MATHS | EQUATION

Mind Teasers : Climbing Top Brain Teaser

Difficulty Popularity

A man is trying to climb over a frozen mountain that is sixty feet high. Every minute, he can climb 3 feet, but due to the slippery ice, he slips back 2 feet.

How long will it take him to reach the top of the mountain?
category : LOGIC | TRICK

Mind Teasers : Find The Hidden Women Riddle

Difficulty Popularity

Can you find the women hidden in the picture below?

category : PICTURE

Mind Teasers : Measure Water Supply Brain Teaser

Difficulty Popularity

You had an infinite supply of water and a 5 ml and 3 ml gallons.

How would you measure exactly 4 ml in least number of steps ?
category : LOGIC | MEASURE

Mind Teasers : Tricky Glass Riddle

Difficulty Popularity

Six identical glasses are in a row.
The first three glasses are filled with juice, and the last three glasses are empty.
By moving only one glass, can you arrange them so that the full and the empty glasses are alternate?
category : LOGIC

Mind Teasers : Situation Problem

Difficulty Popularity

On a windy rainy night , I was driving in my car.
When i reach the bus stand , i see three people waiting for the bus.

1. An old lady who needs an immediate medical attention
2. My Best Friend
3. Girl whom i love from childhood

My car is a two seater, so can you tell me , what i have done in this situation ?
category : LOGIC | SITUATION

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