A multiple-choice quiz
by iggy4.
Estimated time: 22 mins.

Quiz Answer Key and Fun Facts

Answer:
**the carnival booth is rigged**

If the money was in Box 1, then it is telling the truth that there is nothing in Box 3. Box 3 would then be lying, and since there are two true statements, Box 2 would have to be true. Then that would contradict the fact that Box 1 is telling the truth, so therefore the money is not in Box 1.

The money cannot be in Box 2 either since Box 2 would be self-contradictory. The money must be in Box 3. If the money is in Box 3, then Box 1 is lying, and Box 3 is truthful. Then Box 2 would have to be truthful, but then it would contradict the fact that Box 3 is telling the truth. Since everything is contradictory no matter what, the carnival booth must be rigged.

If the money was in Box 1, then it is telling the truth that there is nothing in Box 3. Box 3 would then be lying, and since there are two true statements, Box 2 would have to be true. Then that would contradict the fact that Box 1 is telling the truth, so therefore the money is not in Box 1.

The money cannot be in Box 2 either since Box 2 would be self-contradictory. The money must be in Box 3. If the money is in Box 3, then Box 1 is lying, and Box 3 is truthful. Then Box 2 would have to be truthful, but then it would contradict the fact that Box 3 is telling the truth. Since everything is contradictory no matter what, the carnival booth must be rigged.

Answer:
**2 & 3**

If Statement 4 was the only true statement, then all other statements are false. Statement 1 being false would contradict the fact that Statement 4 is true, therefore, Statement 4 is false.

If Statement 4 is false, then Statement 3 is true and Statement 1 is false. We already have at least two false statements, so Statement 2 is also true along with Statement 3.

If Statement 4 was the only true statement, then all other statements are false. Statement 1 being false would contradict the fact that Statement 4 is true, therefore, Statement 4 is false.

If Statement 4 is false, then Statement 3 is true and Statement 1 is false. We already have at least two false statements, so Statement 2 is also true along with Statement 3.

Answer:
**The prize amount benefits you**

Determining whether the prize amount is fair, is based on what the odds of winning are. The odds of drawing just one king, is 4/52, or a 1 in 13 chance. The odds of drawing another king would be 3/51, or a 1 in 17 chance. So the odds of drawing two kings are 1/13 * 1/17, or a 1 in 221 chance.

The odds of drawing a third king would be 2/50, or a 1 in 25 chance. Multiply that by a 1 in 221 chance and you get a 1 in 5525 chance of drawing three kings. The odds of drawing the last king are 1 in 49, so multiply that by 1 in 5525 and the final probably of drawing four kings is 1 in 270725. Since the casino costs $1 per play, a prize that would be equally fair, is $270,725. Since the prize is much higher than that, the prize amount benefits you.

Determining whether the prize amount is fair, is based on what the odds of winning are. The odds of drawing just one king, is 4/52, or a 1 in 13 chance. The odds of drawing another king would be 3/51, or a 1 in 17 chance. So the odds of drawing two kings are 1/13 * 1/17, or a 1 in 221 chance.

The odds of drawing a third king would be 2/50, or a 1 in 25 chance. Multiply that by a 1 in 221 chance and you get a 1 in 5525 chance of drawing three kings. The odds of drawing the last king are 1 in 49, so multiply that by 1 in 5525 and the final probably of drawing four kings is 1 in 270725. Since the casino costs $1 per play, a prize that would be equally fair, is $270,725. Since the prize is much higher than that, the prize amount benefits you.

Answer:
**Search the remaining alley**

I'll use a list of the possible scenarios:

"empty"-fugitive-empty

"empty"-empty-fugitive

"fugitive"-empty-empty

The quotation marks represent the alley the officer was going to search. When the officer searches the wrong alley, one of the empty alleys goes away, leaving the possible scenarios:

"empty"-fugitive

"empty"-fugitive

"fugitive"-empty

The officer's original choice of alley is only correct 1 in 3 times. It is more logical based on probability to search the remaining alley since the fugitive is hiding there 2 in 3 times.

I'll use a list of the possible scenarios:

"empty"-fugitive-empty

"empty"-empty-fugitive

"fugitive"-empty-empty

The quotation marks represent the alley the officer was going to search. When the officer searches the wrong alley, one of the empty alleys goes away, leaving the possible scenarios:

"empty"-fugitive

"empty"-fugitive

"fugitive"-empty

The officer's original choice of alley is only correct 1 in 3 times. It is more logical based on probability to search the remaining alley since the fugitive is hiding there 2 in 3 times.

Answer:
**TJ and Drake**

Since TJ and Drake are accusing each other, then one or both of them is an attacker. If Jake was an attacker, then he's lying that RJ was attacked, which means RJ is also an attacker. That's impossible since there would be more than two attackers. Jake must be telling the truth. Since Jake is truthful, then RJ is also truthful and innocent, which only leaves TJ and Drake as attackers.

Since TJ and Drake are accusing each other, then one or both of them is an attacker. If Jake was an attacker, then he's lying that RJ was attacked, which means RJ is also an attacker. That's impossible since there would be more than two attackers. Jake must be telling the truth. Since Jake is truthful, then RJ is also truthful and innocent, which only leaves TJ and Drake as attackers.

Answer:
**Bud and Connor**

If Bud is telling the truth that Connor and Emma were the robbers, then Reese would be innocent, and therefore telling the truth that Emma was not one of the robbers, which would contradict the fact that Connor and Emma were the robbers. This means Bud is lying, and he is one of the robbers. If Emma was the other robber, then Reese would be lying, resulting in three robbers. So Emma is not the other robber, and Reese is telling the truth.

This means Connor has to be the other robber, so Bud and Connor robbed the bank.

If Bud is telling the truth that Connor and Emma were the robbers, then Reese would be innocent, and therefore telling the truth that Emma was not one of the robbers, which would contradict the fact that Connor and Emma were the robbers. This means Bud is lying, and he is one of the robbers. If Emma was the other robber, then Reese would be lying, resulting in three robbers. So Emma is not the other robber, and Reese is telling the truth.

This means Connor has to be the other robber, so Bud and Connor robbed the bank.

Answer:
**72 minutes**

Let's say the house is 6 units of dirtiness. Ray would clean 2 units per hour, and Craig would clean 3 units per hour. Together they would clean 5 units per hour, so it would take them 6/5 of an hour to clean the house, which is 72 minutes.

Let's say the house is 6 units of dirtiness. Ray would clean 2 units per hour, and Craig would clean 3 units per hour. Together they would clean 5 units per hour, so it would take them 6/5 of an hour to clean the house, which is 72 minutes.

Answer:
**Amanda**

If Amanda is telling the truth, then Melinda is lying. If Melinda is lying, then Vanessa is his sister. If Vanessa is his sister, then she's lying about Eva lying. If Eva isn't lying, then Amanda is lying, which would contradict the fact that Amanda's telling the truth. That means Amanda is lying and could be his girlfriend or sister. Eva must be telling the truth since Amanda has to be lying. So Vanessa must also be lying, and Melinda is telling the truth. Since Melinda's telling the truth, Vanessa isn't his sister and must be his girlfriend. Amanda is the other liar, so she must be his sister.

If Amanda is telling the truth, then Melinda is lying. If Melinda is lying, then Vanessa is his sister. If Vanessa is his sister, then she's lying about Eva lying. If Eva isn't lying, then Amanda is lying, which would contradict the fact that Amanda's telling the truth. That means Amanda is lying and could be his girlfriend or sister. Eva must be telling the truth since Amanda has to be lying. So Vanessa must also be lying, and Melinda is telling the truth. Since Melinda's telling the truth, Vanessa isn't his sister and must be his girlfriend. Amanda is the other liar, so she must be his sister.

Answer:
**rolling two even numbers**

The odds of rolling an even number are 1 in 2, and the odds of rolling another are 1 in 2. So the odds of rolling two even numbers are 1 in 4.

1-6, 6-1, 2-5, 5-2, 3-4, 4-3, are the possible combinations of the dice adding up to 7. There are 36 possible dice rolls, so a 1 in 6 chance of rolling a 7.

The only multiples of 6 that can be rolled are 6 and 12. The possible combinations are 1-5, 5-1, 2-4, 4-2, 3-3, and 6-6. So the odds are 6 in 36, or 1 in 6.

The odds of rolling two of the same number are 1 in 6 because the odds of rolling a number are 1 in 1, and the odds of rolling the same number are 1 in 6.

The odds of rolling two even numbers is 1 in 4, which is more than all the other odds, which are all 1 in 6.

The odds of rolling an even number are 1 in 2, and the odds of rolling another are 1 in 2. So the odds of rolling two even numbers are 1 in 4.

1-6, 6-1, 2-5, 5-2, 3-4, 4-3, are the possible combinations of the dice adding up to 7. There are 36 possible dice rolls, so a 1 in 6 chance of rolling a 7.

The only multiples of 6 that can be rolled are 6 and 12. The possible combinations are 1-5, 5-1, 2-4, 4-2, 3-3, and 6-6. So the odds are 6 in 36, or 1 in 6.

The odds of rolling two of the same number are 1 in 6 because the odds of rolling a number are 1 in 1, and the odds of rolling the same number are 1 in 6.

The odds of rolling two even numbers is 1 in 4, which is more than all the other odds, which are all 1 in 6.

Answer:
**Octavio and Haley**

Octavio cannot be telling the truth since he is incriminating himself. Octavio must be lying, and Kate cannot be his partner. Since Kate is telling the truth, Haley and Octavio were the thieves.

Octavio cannot be telling the truth since he is incriminating himself. Octavio must be lying, and Kate cannot be his partner. Since Kate is telling the truth, Haley and Octavio were the thieves.

This quiz was reviewed by FunTrivia editor crisw before going online.

Any errors found in FunTrivia content are routinely corrected through our feedback system.

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