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 : Lateral Thinking Problem

Difficulty Popularity

Suppose there is a Christmas tree and four angels are sitting on it amidst the other ornaments. Two of them have black halos and two of them have white halos. No body among them can see above their head. Angel A is sitting on the top branch and can see angels B and C sitting below him. B can see C who is sitting in a branch lower than his. Angel D is at the base of the tree and can't be seen due to the branches in between. Also, he can't see anybody as well.

If they are asked to guess the color of their own halo (they dont know that), who do you think will be able to deduce and speak up first with a right answer?
category : LOGIC

Mind Teasers : Out Of Box Thinking Puzzle

Difficulty Popularity

n a hotel, a man was sleeping when he heard a knock on the door. He shifted the blanket and stepped down from the bed. He waked to the door and opened it to find a stranger standing outside.
Upon opening the gate, that stranger said, "Pardon me, I must have made a mistake. I thought this was my room."
The stranger then walked the corridor and climbed down the stairs. The man closed the door and immediately called the security. He asked them to arrest that stranger immediately.
Why did he asked them to arrest that stranger? What made him suspicious?

Mind Teasers : Spot The Difference Christmas Tree Riddle

Difficulty Popularity

Can you spot 5 differences in two Christmas tree below?

category : PICTURE

Mind Teasers : Lateral Thinking Puzzle

Difficulty Popularity

Sachin new ferrari car has five wheels(two front wheels, two Rear wheels and one spare wheel).
Real car Wheel will wear out in exact 21000 miles and front wheel will wear out after exact 29000 miles.

What is the maximum distance sachin can cover.

Note: unlimited numbers of changing the tyres can take place.
category : LOGIC

Mind Teasers : Clock Puzzle

Difficulty Popularity

The needles of a clock overlaps at 12:00 in a 12 hour format clock.

When will the two needles overlap again ?
category : LOGIC | RIDDLE

Mind Teasers : Cross The River Mind Teaser

Difficulty Popularity

A river should be crossed by a father, a mother and their two sons and two daughters.
There are some rules that should be followed while crossing the river. There can be only two people in the raft while crossing. The daughters cannot be with their father unless there is the presence of the mother. The sons cannot be with their mothers unless the father is present. Unless the guard is on the board, the criminals cannot be with any of the family members. Only the adults like the father, the guard, and the mother knows to use the raft.

How will they cross the river?
category : LOGIC

Mind Teasers : Three Errors In Sentence Problem

Difficulty Popularity

Can you fynd three errors in that puzzle?
category : LOGIC | TRICK

Mind Teasers : Famous Cross The River Logic Puzzle

Difficulty Popularity

Michelangelo is being chased by a couple of cannibals who will kill him as soon as they get a hold of him. The only way to get rid of them is crossing the river bridge made of ropes and cut it on reaching the other end. He have found two diamonds in the woods each weighing 8 lbs. The rope is weak and can only accommodate a weight of 150 lbs. He weighs 140 lbs. Still he manages to cross the bridge and get rid of the cannibals with the diamonds without taking off any kind of clothing.

How?
category : LOGIC

Mind Teasers : Playing Cards Logic Riddle

Difficulty Popularity

Dr. Watson has a new card puzzle for Sherlock Holmes. He picks four cards out of the pack of 52 cards and lays them face down on the table. He offers four hints to Sherlock.
1) The left card can’t be greater than the one on right.
2) The difference between the first card and third card equals to eight.
3) None of the Ace is present
4) No face card has been included i.e. no queen king and jacks.
5) The difference between the second and fourth card is 7.
Sherlock smiles and tells all the four cards to Dr. Watson.

Can you tell the four cards?
category : LOGIC

Mind Teasers : Bridge Breaks Brain Teaser

Difficulty Popularity

There is a 30km long bridge. The bridge can only support up to a weight of 2000 kg. A car that weighs 2000 kg needs to cross that bridge. When the car has reached midway of the bridge, a bird comes and sits on top of the car. The bird weighs 300 grams.

Now, does the bridge breaks down at this point of time or not?
category : LOGIC

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