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Quiz about Fun Mathematical Problems III
Quiz about Fun Mathematical Problems III

Fun Mathematical Problems III Trivia Quiz

Part three of the quizzes dealing with easy statistics and a bit of logic. Have fun.

A multiple-choice quiz by wimm. Estimated time: 5 mins.
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Author
wimm
Time
5 mins
Type
Multiple Choice
Quiz #
49,514
Updated
Dec 03 21
# Qns
5
Difficulty
Tough
Avg Score
3 / 5
Plays
3249
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Question 1 of 5
1. A friend of mine told me he found a way to enjoy himself at the casino the whole evening, without losing any money. 'I'll play the roulette and each time I bet half my money on the colour 'red' and the other half of my money on the color 'black'. So I'll always break even after each game and I can play all evening ...' Is he right?


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Question 2 of 5
2. Last week I was at a party with 10 people. Because the party was rather dull, I started thinking and calculating. I wondered what the probability is that at least two of them shared the same birthday. Do you have any idea? Hint


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Question 3 of 5
3. I have a box with 10 marbles in it. 6 of them are red, 4 of them blue. I want to leave home with two pairs of marbles of a different color (so I want 2 reds and 2 blues). In the worst case scenario, how many marbles do I have to take out of my box, asuming I can't see them before I take them out the box?

Answer: (number)

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Question 4 of 5
4. I'm playing with 10 dice now. I throw them all at once on the table. One falls down on the ground, the other 9 have a six on top. When I take the one that fell down and throw it again, what is the probability to have 10 sixes on the table?

Answer: (three words: (number) in (number))

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Question 5 of 5
5. What is the next number in this sequence - 1, 2, 6, 21, 88, ...? Hint



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Quiz Answer Key and Fun Facts
1. A friend of mine told me he found a way to enjoy himself at the casino the whole evening, without losing any money. 'I'll play the roulette and each time I bet half my money on the colour 'red' and the other half of my money on the color 'black'. So I'll always break even after each game and I can play all evening ...' Is he right?

Answer: No

There are 36 coloured numbers on the roulette and the '0' and '00' are neither red nor black. This means he has an 18:38 chance to win but also a 20:38 chance to lose. Due to the statistics involved, he will normally always lose money (and the casino will get richer).
2. Last week I was at a party with 10 people. Because the party was rather dull, I started thinking and calculating. I wondered what the probability is that at least two of them shared the same birthday. Do you have any idea?

Answer: approx. 0.12

 When you need 'at least two', it is much easier to calculate 'no one' and then subtract this probability from 1. The first one may celebrate his birthday any day (prob 365:365), the second one any day except one (prob 364:365), the third one any day except two (prob 363:365) etc...

These odds must be multiplied with each other and then subtracted from 1. It's amazing how high the probability is. (Note: for a leap year, the calculation is almost the same.)
3. I have a box with 10 marbles in it. 6 of them are red, 4 of them blue. I want to leave home with two pairs of marbles of a different color (so I want 2 reds and 2 blues). In the worst case scenario, how many marbles do I have to take out of my box, asuming I can't see them before I take them out the box?

Answer: 8

The first six marbles I take could all be red. The seventh will then be a blue one, and the eighth must also be blue.
4. I'm playing with 10 dice now. I throw them all at once on the table. One falls down on the ground, the other 9 have a six on top. When I take the one that fell down and throw it again, what is the probability to have 10 sixes on the table?

Answer: One in six

It doesn't matter what was already thrown on the table. When I roll a die, the chance at throwing a six is always one in six!
5. What is the next number in this sequence - 1, 2, 6, 21, 88, ...?

Answer: 445

 The rule is: multiply by n and add n to the result. (1x1)+1=2, (2x2)+2=6, (6x3)+3=21, (21x4)+4=88, and (88x5)+5=445.
Source: Author wimm

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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Referenced Topics
General   People   Science   Colors   Math   Mixed Math   Blue   The Color Black   Sequences  

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