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 : Tricky Password Mystery Problem

Difficulty Popularity

A brother wants to use his brother's desktop computer. When he opens it, he finds out that it is password protected. Now, he clicks on the hint and the following appears in front of him:

1 Jug 2 Birthdays 3 Fights 4 Cars 2 Laptops 1 Watch

He is left confused entirely. He has no clue. Can you help him with the password?
category : LOGIC | CIPHER

Mind Teasers : Knockout Matches Logical Problem

Difficulty Popularity

Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 100 players took part in that tournament.

How many matches were played?

Mind Teasers : Fun With Maths - Pool Table Puzzle

Difficulty Popularity

Can you make the below equation true by placing three correct balls in the picture below?

Mind Teasers : Maths Logical Problem

Difficulty Popularity

The digits 0-9(0,1,2,3,4,5,6,7,8,9) can be rearranged into 3628800 distinct 10 digits numbers.

How many of these numbers are prime ?

Mind Teasers : Cool Equation Riddle

Difficulty Popularity

If 1 + 9 + 11 = 1, Then what is the value of

12 + 11 + 9 = ?

Mind Teasers : Interview Balls Puzzle

Difficulty Popularity

In a closed jar, there are three strawberry candies, two mango candies and five pineapple candies. You can't see inside the jar. Now, how many toffees you must take out from the jar to make sure that you have one of each flavor?
category : LOGIC

Mind Teasers : How Many Seconds In A Year Riddle

Difficulty Popularity

Without the use of calculation, can you find how many seconds are there in a year ?

Mind Teasers : Logic Math Problem

Difficulty Popularity

David and Albert are playing a game. There are digits from 1 to 9. The catch is that each one of them has to cut one digit and add it to his respective sum. The one who is able to obtain a sum of exact 15 will win the game?

You are a friend of David. Do you suggest him to play first or second?
category : LOGIC | TRICK

Mind Teasers : Very Hard Math Question

Difficulty Popularity

There stand nine temples in a row in a holy place. All the nine temples have 100 steps climb. A fellow devotee comes to visit the temples. He drops a Re. 1 coin while climbing each of the 100 steps up. Then he offers half of the money he has in his pocket to the god. After that, he again drops Re. 1 coin while climbing down each of the 100 steps of the temple.

If he repeats the same process at each temple, he is left with no money after climbing down the ninth temple. Can you find out the total money he had with him initially?
category : LOGIC | MATHS

Mind Teasers : Sherlock Holmes Anne Cipher Puzzle

Difficulty Popularity

Anne was found dead in the central park of London.
There are six suspects "hazard", "Costa", "Pedro", "Willian", "Terry" and "courtois".

Anne has written the murdered name in cipher on the floor as "dqvxf".

Police were unable to solve the mystery so they called Sherlock.
After a minute, Sherlock was able to decipher the cipher and ask the police to capture the murderer.

Who is the murderer?

category : MYSTERY

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