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 : Hard Logic Brain Teaser

Difficulty Popularity

There are 100 doors. 100 strangers have been gathered in the adjacent room. The first one goes and opens every door. The second one goes and shuts down all the even numbered doors – second, fourth, sixth... and so on. The third one goes and reverses the current position of every third door (third, sixth, ninth… and so on.) i.e. if the door is open, he shuts it and if the door is shut, he switches opens it. All the 100 strangers progresses in the similar fashion.

After the last person has done what he wanted, which doors will be left open and which ones will be shut at the end?
category : LOGIC

Mind Teasers : Extremely Hard Civil Services Problem

Difficulty Popularity

( ) + ( ) + ( ) + ( ) + ( ) = 30
This is what you have for equation. The following are the numbers that you can use to fill in the brackets:
1, 3, 5, 7, 9, 11, 13 and 15

You can repeat the numbers if required. The resulting sum should be 30.

This question appeared in the UPSC final examination in December 2013. Out of all the people who appeared, only one guy was able to solve this namely Gaurav Agarwal.

Can you solve it?

Mind Teasers : Supernatural - Who Are We Riddle

Difficulty Popularity

We are the most popular hunters of the world.
We fight against hell.
We kill criminal vampires.
We kill demons.
We always do it together as we are the brother.

Who are we?

Mind Teasers : Who Am I Hot Cold Riddle

Difficulty Popularity

I am hot but if you remove first two alphabets then I will become really cold. Who am I ?

Mind Teasers : Guess Game Logic Problem

Difficulty Popularity

In a guess game , five friends had to guess the exact numbers of balls in a box.
Friends guessed as 31 , 35, 39 , 49 , 37, but none of guess was right.The guesses were off by 1, 9, 5, 3, and 9 (in a random order).
Can you determine the number of balls in a box ?
category : LOGIC | MATHS

Mind Teasers : Frequent Maths Digit Brain Teaser

Difficulty Popularity

Can you identify the most common digit between the number 1 and 1000?
category : LOGIC | MATHS

Mind Teasers : Best Thinking Brain Teaser Ever

Difficulty Popularity

Three men are living in a desert namely – Alex, Brian and Chris.

Alex hates Chris and thus he decides to kill him. To succeed in his evil intentions, he poison the water supply of Chris. Since they are living in desert, he will have to drink water or he will die of thirst.

Brian is not aware of the actions of Alex and he plans to kill Chris as well. To do this, he killed the water supply of Chris.

Chris dies due to his thirst. Who killed him?

Mind Teasers : Spot The Difference Christmas Tree Riddle

Difficulty Popularity

Can you spot 5 differences in two Christmas tree below?

category : PICTURE

Mind Teasers : Logical Problem

Difficulty Popularity

Four stupid friends meet each other after long time.They are so stupid that they start talking about their suits

* There were a total of eight suits, two in each color, black, brown, pink and white.
* Each friend owned two suits.
* No friend had two suits of the same color.
* Ganpat don't have a white suit.
* Harish don't have a black suit, but did have a brown one.
* One of the friends had a white suit and a pink suit and another friend had a brown suit and a pink suit.
* Manoj had a white suit.
* Tarun had a pink suit, but don't have a brown one.

Can you work out which friend had which color suits?
category : LOGIC

Mind Teasers : Logical Maths Gold Bar Brain Teaser

Difficulty Popularity

A worker is to perform work for you for seven straight days. In return for his work, you will pay him 1/7th of a bar of gold per day. The worker requires a daily payment of 1/7th of the bar of gold. What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?
category : LOGIC | MATHS

Submit your Email Address to get latest post directly to your inbox.

Latest Puzzles

02 April
Minimum Move Chess Game Video Riddle

Can you figure out the minimum number of...

01 April
A numeric lock has 3 digit key Riddle

A numeric lock has 3 digit code with the...

31 March
What's wrong in the kitchen picture

What appears to be wrong in the kitchen ...

30 March
Who Is the Mother Picture Riddle

Can you find the mother of the baby in t...

29 March
Lighter Than Air Riddle

I'm lighter than air but a thousand men ...

28 March
3 Tigers 3 Sheep Riddle

If 3 tigers catch 3 sheep in 3 minutes. ...

27 March
Cow Rebus

Decode the below cow rebus....

Puzzles Tags :

Illusions Tags :