Yahtzee Riddle
The game of Yahtzee is played with five dice. On the first turn, a player rolls all five dice, and then may decide to keep any, all, or none of the dice aside before rolling again. Each player has a maximum of three rolls to try to get a favorable combination of dice "kept" on the side.
If a player rolls two 2s and two 4s on his/her first roll, and keeps all four of these dice aside, what is the probability of getting a full house (three of one value and two of another) in one of his/her next two rolls? (ie what is the probability of getting either a 2 or a 4 in one of the next two rolls?)
If a player rolls two 2s and two 4s on his/her first roll, and keeps all four of these dice aside, what is the probability of getting a full house (three of one value and two of another) in one of his/her next two rolls? (ie what is the probability of getting either a 2 or a 4 in one of the next two rolls?)
Hint: Think of the probability of NOT getting a full house.
5/9
The answer is NOT 2/3 because you cannot add probabilities. On each roll, the probability of getting a 2 or a 4 is 1/3, so therefore, the probability of not getting a 2 or a 4 is 2/3. Since the die is being rolled twice, square 2/3 to get a 4/9 probability of NOT getting a full house in two rolls. The probability of getting a full house is therefore 1 - 4/9, or 5/9. Did you answer this riddle correctly?
YES NO
The answer is NOT 2/3 because you cannot add probabilities. On each roll, the probability of getting a 2 or a 4 is 1/3, so therefore, the probability of not getting a 2 or a 4 is 2/3. Since the die is being rolled twice, square 2/3 to get a 4/9 probability of NOT getting a full house in two rolls. The probability of getting a full house is therefore 1 - 4/9, or 5/9. Did you answer this riddle correctly?
YES NO
Three People In A Room
Three people enter a room and have a green or blue hat placed on their head. They cannot see their own hat, but can see the other hats.
The color of each hat is purely random. They could all be green, or blue, or any combination of green and blue.
They need to guess their own hat color by writing it on a piece of paper, or they can write 'pass'.
They cannot communicate with each other in any way once the game starts. But they can have a strategy meeting before the game.
If at least one of them guesses correctly they win $50,000 each, but if anyone guess incorrectly they all get nothing.
What is the best strategy?
The color of each hat is purely random. They could all be green, or blue, or any combination of green and blue.
They need to guess their own hat color by writing it on a piece of paper, or they can write 'pass'.
They cannot communicate with each other in any way once the game starts. But they can have a strategy meeting before the game.
If at least one of them guesses correctly they win $50,000 each, but if anyone guess incorrectly they all get nothing.
What is the best strategy?
Hint:
Simple strategy: Elect one person to be the guesser, the other two pass. The guesser chooses randomly 'green' or 'blue'. This gives them a 50% chance of winning.
Better strategy: If you see two blue or two green hats, then write down the opposite color, otherwise write down 'pass'.
It works like this ('-' means 'pass'):
Hats: GGG, Guess: BBB, Result: Lose
Hats: GGB, Guess: --B, Result: Win
Hats: GBG, Guess: -B-, Result: Win
Hats: GBB, Guess: G--, Result: Win
Hats: BGG, Guess: B--, Result: Win
Hats: BGB, Guess: -G-, Result: Win
Hats: BBG, Guess: --G, Result: Win
Hats: BBB, Guess: GGG, Result: Lose
Result: 75% chance of winning! Did you answer this riddle correctly?
YES NO
Better strategy: If you see two blue or two green hats, then write down the opposite color, otherwise write down 'pass'.
It works like this ('-' means 'pass'):
Hats: GGG, Guess: BBB, Result: Lose
Hats: GGB, Guess: --B, Result: Win
Hats: GBG, Guess: -B-, Result: Win
Hats: GBB, Guess: G--, Result: Win
Hats: BGG, Guess: B--, Result: Win
Hats: BGB, Guess: -G-, Result: Win
Hats: BBG, Guess: --G, Result: Win
Hats: BBB, Guess: GGG, Result: Lose
Result: 75% chance of winning! Did you answer this riddle correctly?
YES NO
Gun Fighting Riddle
Kangwa, Rafael and Ferdinand plans for gun fighting.
They each get a gun and take turns shooting at each other until only one person is left.
History suggests:
Kangwa hits his shot 1/3 of the time, gets to shoot first.
Rafael, hits his shot 2/3 of the time, gets to shoot next if still living.
Ferdinand having perfect record at shooting(100% accuracy) shoots last , if alive.
The cycle repeats. If you are Kangwa, where should you shoot first for the highest chance of survival?
They each get a gun and take turns shooting at each other until only one person is left.
History suggests:
Kangwa hits his shot 1/3 of the time, gets to shoot first.
Rafael, hits his shot 2/3 of the time, gets to shoot next if still living.
Ferdinand having perfect record at shooting(100% accuracy) shoots last , if alive.
The cycle repeats. If you are Kangwa, where should you shoot first for the highest chance of survival?
Hint:
He should shoot at the ground.
If Kangwa shoots the ground, it is Rafael's turn. Rafael would rather shoot at Ferdinand than Kangwa, because he is better.
If Rafael kills Ferdinand, it is just Kangwa and Rafael left, giving Kangwa a fair chance of winning.
If Rafael does not kill Ferdinand, it is Ferdinand's turn. He would rather shoot at Rafael and will definitely kill him. Even though it is now Kangwa against Ferdinand, Kangwa has a better chance of winning than before. Did you answer this riddle correctly?
YES NO
If Kangwa shoots the ground, it is Rafael's turn. Rafael would rather shoot at Ferdinand than Kangwa, because he is better.
If Rafael kills Ferdinand, it is just Kangwa and Rafael left, giving Kangwa a fair chance of winning.
If Rafael does not kill Ferdinand, it is Ferdinand's turn. He would rather shoot at Rafael and will definitely kill him. Even though it is now Kangwa against Ferdinand, Kangwa has a better chance of winning than before. Did you answer this riddle correctly?
YES NO
Brown Shell On The Outside
Ive a brown shell on the outside
And my shape is an oval
However, I am not an egg
From a palm trees where I fall
I am?
And my shape is an oval
However, I am not an egg
From a palm trees where I fall
I am?
Hint:
Born In Silence
Sometimes I am born in silence,
Other times, no.
I am unseen,
But I make my presence known.
In time, I fade without a trace.
I harm no one,
but I am unpopular with all.
What am I?
Other times, no.
I am unseen,
But I make my presence known.
In time, I fade without a trace.
I harm no one,
but I am unpopular with all.
What am I?
Hint:
The Wild Wild West
In the Wild West, you challenge two cowboys - Hunter Jack and Sharp Shooter Leo into a death match. They being better shooter than you readily accept your challenge. But they don't want to waste bullets and thus lay down a certain rules that are accepted by you as well. Here are the rules:
1) Everyone shoot in a given order till only one is left.
2) Everyone shoot only once when his turn arrive.
3) If any one of you is injured, the other two will finish him off together.
4) The worst shooter gets to shoot first (which is you) and the best one shoots at the last.
Now, what tactics will you use if you know that you hit every third shot of yours, Jack hits every second shot and Leo hits every shot?
1) Everyone shoot in a given order till only one is left.
2) Everyone shoot only once when his turn arrive.
3) If any one of you is injured, the other two will finish him off together.
4) The worst shooter gets to shoot first (which is you) and the best one shoots at the last.
Now, what tactics will you use if you know that you hit every third shot of yours, Jack hits every second shot and Leo hits every shot?
Hint:
The best thing for you will be to shoot your first shot in air.
If you try to shoot at Jack and hits him by chance, Leo always hits on the target and you are dead.
If you choose to shoot at Leo and hits him by chance, then there is a fifty percent chance that Jack will hit you.
If you shoot in air, the next turn is of Jack and he knows that Leo is a better shooter which means that he will shoot at him. If he misses, he is definitely dead as Leo will shoot on him coz he shot at him. The next turn will be yours and you stand a 1/3rd chance of hitting him. Also if, he is able to hit Leo. The next chance is yours again and you can try the 1/3rd probability of hitting over Jack.
This is the best situation that you can face. At every other possible way, you will face a worse situation for sure. Did you answer this riddle correctly?
YES NO
If you try to shoot at Jack and hits him by chance, Leo always hits on the target and you are dead.
If you choose to shoot at Leo and hits him by chance, then there is a fifty percent chance that Jack will hit you.
If you shoot in air, the next turn is of Jack and he knows that Leo is a better shooter which means that he will shoot at him. If he misses, he is definitely dead as Leo will shoot on him coz he shot at him. The next turn will be yours and you stand a 1/3rd chance of hitting him. Also if, he is able to hit Leo. The next chance is yours again and you can try the 1/3rd probability of hitting over Jack.
This is the best situation that you can face. At every other possible way, you will face a worse situation for sure. Did you answer this riddle correctly?
YES NO
Golf And Pizza Riddle
Robert and David played several golf matches against each other in a week. They played for a pizza at each match, but no pizzas were purchased until the end of the week. If at any time Robert and David had the same number of wins, those pizzas were canceled. Robert won four matches (but no pizzas), and David won three pizzas. How many rounds of golf were played?
Hint:
Eleven, David won 7 matches, 4 to cancel out Robert's 4 wins, and 3 more to win the pizzas. Did you answer this riddle correctly?
YES NO
YES NO
Puddle On The Ground
If a the police were investigating a suicide and all there was was a man hanging from the roof a collapsed wood box and a puddle on the ground and a match found inside the box how did this man die.
Hint:
He was standing on a box with ice in it he threw a match in the hole in the box it eventually melted the ice and made the wooden box collapse Did you answer this riddle correctly?
YES NO
YES NO
Monster Cookies Riddle
If a monster has 13 giant chocolate chip Halloween cookies in one hand and 10 super large orange covered Halloween cookies in the other, what do you have?
Hint:
How To Tell If A Snake Is Poisonous
Hint:
Spin Me Round
Spin me, spin me, round and round. The pot's at stake when I fall down. You may get nothing, you may just win. If I land on shin, more pieces go in! What am I?
Hint:
The Nonpunishable Crime
Hint:
Bat And Ball Riddle
Hint: The answer isn't 10 cents.
Here's the solution:
Although $1.00 + $0.10 does equal $1.10, if you take $1.00 $0.10 you get $0.90, but the problem requires that the bat costs $1 more than the ball.
So, the ball must cost $0.05, and the bat must cost $1.05 since $1.05 + $0.05 = $1.10
---
Still not convinced? You can use algebra to solve the problem:
First, lets set up the equation:
x + ($1.00 + x) = $1.10
$1.00 + 2x = $1.10
2x = $1.10 $1.00
2x = $0.101
Finally, solve for x:
x = $0.05
Check your work:
x + ($1.00 + x) = $1.10, so
$0.05 + ($1.00 + $0.05) = $1.10 Did you answer this riddle correctly?
YES NO
Although $1.00 + $0.10 does equal $1.10, if you take $1.00 $0.10 you get $0.90, but the problem requires that the bat costs $1 more than the ball.
So, the ball must cost $0.05, and the bat must cost $1.05 since $1.05 + $0.05 = $1.10
---
Still not convinced? You can use algebra to solve the problem:
First, lets set up the equation:
x + ($1.00 + x) = $1.10
$1.00 + 2x = $1.10
2x = $1.10 $1.00
2x = $0.101
Finally, solve for x:
x = $0.05
Check your work:
x + ($1.00 + x) = $1.10, so
$0.05 + ($1.00 + $0.05) = $1.10 Did you answer this riddle correctly?
YES NO
Fainting Ghost Riddle
Hint:
Mad Mick Riddle
Howard returned from his football game later than normal and Trudy, his Mom, was concerned. She asked what position he played, and he said he was a lineman. She asked what team they played and his reply was the Bears. She asked if anything strange had happened and he said no. She asked what the score was and he said their team won, 14-1. Satisfied, Trudy sent Howard up to bed. The next morning Trudy told her husband Mick about her conversation with Howard. Micks face turned red and he stormed up to Howards room.
Why was Mick mad?
Why was Mick mad?
Hint:
Mick knew Howard was lying about being at the football game because in American football it's impossible to score just 1 point. A score of 2 is the lowest possible score (awarded for a safety). In fact, 1 is the only impossible score in football. You can score 2 points for a safety, 3 points for a field goal and 6 points for a touchdown, with an extra point for the field goal. You also have the option to go for another touchdown for a 2-point conversion. With 2, 3, 6 and 7 you can generate any other number except for 1.
For example, here are ways a team could score from 2 to 10 points.
2 = safety
3 = field goal
4 = 2 + 2
5 = 3 + 2
6 = touchdown
7 = touchdown and extra point attempt
8 = touchdown and two point conversion
9 = touchdown and field goal
10 = touchdown, extra point attempt and field goal Did you answer this riddle correctly?
YES NO
For example, here are ways a team could score from 2 to 10 points.
2 = safety
3 = field goal
4 = 2 + 2
5 = 3 + 2
6 = touchdown
7 = touchdown and extra point attempt
8 = touchdown and two point conversion
9 = touchdown and field goal
10 = touchdown, extra point attempt and field goal Did you answer this riddle correctly?
YES NO
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