Puzzles Online
Puzzle 9 | (3 Ants and Triangle)
There are 3 ants sitting on three corners of a triangle. All ants randomly pick a direction and start moving along edge of the triangle. What is the probability that any two ants collide?
Hint: Every ant has two choices (pick either of two edges going through the corner on which ant is initially sitting).
Answer:
Collision doesn’t happen only in following two cases
1) All ants move in counterclockwise direction.
2) All ants move in clockwise direction.
Since every ant has two choices (pick either of two edges going through the corner on which ant is initially sitting), there are total $2^3$ possibilities.
Out of 23 possibilities, only 2 don’t cause collision. So, the probability of collision is 6/8 and the probability of non-collision is 2/8.
Score Board
| Total | |
| Attended | 0 |
| Correct | 0 |
| Incorrect | 0 |
-
⊟
Daily Puzzle 2
- Stick Spiral
- Math Riddles
- Shapes And Sticks Puzzle
- Pigs need their pens
- Coin triangle
- Dots in a square
- Pentagon & star
- Trees in rows
- A matchstick puzzle
- Shuffle the Sticks
- Rs 500 Note Puzzle
- Turn the fish
- Cuddling Coins
- Penny through the Paper
- Squared Sticks
- Stick Shapes
- Mathematical Sticks
- Stick Stars
- Daily Puzzle
- Daily Puzzle 2
- Poison and Rat
- Brain Teasers
- Starter Puzzles
- Logic Puzzles
- Puzzle Online
- Find ages of daughters
- Finding the poisoned juice
- Find the fastest 3 horses
- Camel and Banana Puzzle
- 100 Doors
- Riddles
- 10 Coins Puzzle
- Maximize probability of White Ball
- 3 Ants and Triangle
- Maximum Chocolates
- Hourglasses Puzzle
- 5 Pirates and 100 Gold Coins
- Strategy for a 2 Player Coin Game
- Know Average Salary without Disclosing Individual Salaries