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 : Difficult Brain Twister

Difficulty Popularity

A strange tradition is followed in an orthodox and undeveloped village. The chief of the village collects taxes from all the males of the village yearly. But it is the method of taking taxes that is interesting.

The taxes paid in the form of grains and every male should pay equal pounds corresponding to his age. In simpler terms, a man aged 10 years will have to pay 10 pounds of grains and a 20 years old will be paying 20 pounds of grain.

The chief stands on a riser containing 7 different weights next to a large 2 pan scale. As per the interesting custom, the chief can only weigh using three of the seven weights.

In such a scenario, can you calculate what must be the weights of the seven weights each and who is the oldest man the chief can measure using those weights?
category : LOGIC | MATHS

Mind Teasers : Logic Problem Brain Teaser

Difficulty Popularity

The world is facing a serious viral infection. The government of various countries have issued every citizen two bottles. You as well have been given the same. Now one pill from each bottle is to be taken every day for a month to become immune to the virus. The problem is that if you take just one, or if you take two from the same bottle, you will die a painful death.

While using it, you hurriedly open the bottles and pour the tablets in your hand. Three tablets come down in your hand and you realize they look exactly the same and have same characteristics. You can’t throw away the pill as they are limited and you can’t put them back or you may put it wrong and may die someday.

How will you ensure that you are taking the right pill?
category : LOGIC

Mind Teasers : Classic Five Tablet Puzzle

Difficulty Popularity

Roy was suffering from severe headaches. He went to see his doctor and the doctor gave him five tablets asking him to take one tablet every 15 minutes.

How much time will it take Roy to consume all the five tablets?

Mind Teasers : Terrorist Attack Security Puzzle

Difficulty Popularity

UNO plans a gathering.
However there is threat of terrorist attack. So security guard who is a mathematical plans somethings to secure the place.

A terrorist stands nearby the door where
1st ambassador comes , the security guard said 'twelve' and ambassador replied with 'six'.
2nd ambassador comes , the security guard said 'six' and ambassador replied with 'three'.

The terrorist thinks its enough and walks to the door.
The security person said 'eight' , terrorist replied 'four' and get immediately arrested.

why ?
category : LOGIC | TRICK

Mind Teasers : Multiple Answers Problem

Difficulty Popularity

Can you solve the equation in the image below(at-least three different ways) by playing numbers 1 through 9 in the boxes so that all three equation are correct ?

Mind Teasers : Decrypt Password Riddle

Difficulty Popularity

A person has uncovered a secret that was a mystery for ages. He transfers the data into his hard drive and encrypts the drive with a password. Then, he writes a line on a paper to remember the password.

The line says 'You force heaven to be empty'.

Can you decrypt the line to reveal the password if you know that the password is seven characters long that comprise of just letters and numbers?
category : LOGIC | CIPHER

Mind Teasers : Maths Equation Brain Teaser

Difficulty Popularity

Arrange four eights(9) and a one(1) and only one mathematical symbol to make it equal to 100

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 : Whats The Temperature Rebus

Difficulty Popularity

Below rebus represents the current Temperature.

0
=========
B.Sc
LLB

What is the current Temperature ?
category : REBUS

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

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