A multiple-choice quiz
by iggy4.
Estimated time: 6 mins.

Scroll down to the bottom for the answer key.

Quiz Answer Key and Fun Facts

Answer:
**3/5**

There are 8 sides on the 4 coins. Heads is on 5 sides while tails is on 3 sides. Out of the 5 sides that are heads, 3 of them have tails on the other side. This means the odds are 3 out of 5.

There are 8 sides on the 4 coins. Heads is on 5 sides while tails is on 3 sides. Out of the 5 sides that are heads, 3 of them have tails on the other side. This means the odds are 3 out of 5.

Answer:
**1/36**

If you do 6 to the 3rd power, there are 216 possible results from rolling three dice. The possible results that total 16 are 4-6-6, 6-6-4, 6-4-6, 5-5-6, 5-6-5, and 6-5-5. Since there are 6 possible results, the odds are 6/216 or 1/36.

If you do 6 to the 3rd power, there are 216 possible results from rolling three dice. The possible results that total 16 are 4-6-6, 6-6-4, 6-4-6, 5-5-6, 5-6-5, and 6-5-5. Since there are 6 possible results, the odds are 6/216 or 1/36.

Answer:
**5/16**

If you do 2 to the 5th power, then there are 32 possible results from flipping 5 coins. The possible results containing 3 tails and 2 heads, are: TTTHH, TTHTH, TTHHT, THHTT, THTHT, THTTH, HHTTT, HTHTT, HTTHT, and HTTTH. Since there are 10 possible results, the probability is 10/32 or 5/16.

If you do 2 to the 5th power, then there are 32 possible results from flipping 5 coins. The possible results containing 3 tails and 2 heads, are: TTTHH, TTHTH, TTHHT, THHTT, THTHT, THTTH, HHTTT, HTHTT, HTTHT, and HTTTH. Since there are 10 possible results, the probability is 10/32 or 5/16.

Answer:
**37/64**

First I'll figure out the probability you didn't get any correct. There are 4 choices and 3 wrong ones in each question, so the odds you will get a question wrong are 3/4. The odds you will get all three wrong are 3/4 * 3/4 * 3/4 = 27/64. This means that 37/64 are the odds you will not get them all wrong. Not getting them all wrong and getting at least one correct are the same thing.

First I'll figure out the probability you didn't get any correct. There are 4 choices and 3 wrong ones in each question, so the odds you will get a question wrong are 3/4. The odds you will get all three wrong are 3/4 * 3/4 * 3/4 = 27/64. This means that 37/64 are the odds you will not get them all wrong. Not getting them all wrong and getting at least one correct are the same thing.

Answer:
**900**

The first number has 9 possibilities from 1-9, so the odds of getting the first digit correct are 1/9. The second digit has 10 possibilities from 0-9, so the odds of getting it correct are 1/10. The odds of getting the third digit correct are also 1/10.

The last two digits are the same as the first two digits so we don't need to consider them. If you multiply 1/9 * 1/10 * 1/10 then there is a 1/900 chance of getting the question correct.

The first number has 9 possibilities from 1-9, so the odds of getting the first digit correct are 1/9. The second digit has 10 possibilities from 0-9, so the odds of getting it correct are 1/10. The odds of getting the third digit correct are also 1/10.

The last two digits are the same as the first two digits so we don't need to consider them. If you multiply 1/9 * 1/10 * 1/10 then there is a 1/900 chance of getting the question correct.

Answer:
**135/512**

The probability of getting two specific problems correct are 1/4 * 1/4 * 3/4 * 3/4 * 3/4 = 27/1024

There are 32 possible results from answering 5 questions, and the possible results from answering 2/5 questions correct are: WWWCC, WWCWC, WWCCW, WCCWW, WCWCW, WCWWC, CCWWW, CWCWW, CWWCW, and CWWWC.

Each of those 10 possibilities has the same 27/1024 chance of occurring. This means the odds of one of them occurring are 10 times the odds of a specific one occurring. 27/1024 * 10 = 270/1024 or 135/512.

The probability of getting two specific problems correct are 1/4 * 1/4 * 3/4 * 3/4 * 3/4 = 27/1024

There are 32 possible results from answering 5 questions, and the possible results from answering 2/5 questions correct are: WWWCC, WWCWC, WWCCW, WCCWW, WCWCW, WCWWC, CCWWW, CWCWW, CWWCW, and CWWWC.

Each of those 10 possibilities has the same 27/1024 chance of occurring. This means the odds of one of them occurring are 10 times the odds of a specific one occurring. 27/1024 * 10 = 270/1024 or 135/512.

Answer:
**13/18**

There is a 1/6 chance that you originally picked the correct envelope. After the host removes 2 $1 envelopes, there are only 4 envelopes left, but your odds of having the $100 envelope are still 1 in 6. There is a 5/6 chance that the $100 is in one of the 3 remaining envelopes you didn't pick.

This means there is a (5/6)/3 or 5/18 chance that you will win by switching your choice. The odds of losing money by switching your choice are 13/18 since the odds of winning are 5/18. You are likely to lose money if you switch your choice, but you are also 1.66666667 times more likely to get the $100 bill

There is a 1/6 chance that you originally picked the correct envelope. After the host removes 2 $1 envelopes, there are only 4 envelopes left, but your odds of having the $100 envelope are still 1 in 6. There is a 5/6 chance that the $100 is in one of the 3 remaining envelopes you didn't pick.

This means there is a (5/6)/3 or 5/18 chance that you will win by switching your choice. The odds of losing money by switching your choice are 13/18 since the odds of winning are 5/18. You are likely to lose money if you switch your choice, but you are also 1.66666667 times more likely to get the $100 bill

Answer:
**2/9**

The odds of conceiving a girl and boy are 2/3 and 1/3. This means that the odds of having two boys and a girl in a specific order would be 2/3 * 1/3 * 1/3, which is 2/27. There are three possible combinations of 2 boys and a girl, each with the same probability of 2/27.

This means the odds of one result occurring are three times the odds of a specific result occurring. 2/27 times 3 is 6/27 or 2/9, which is correct.

The odds of conceiving a girl and boy are 2/3 and 1/3. This means that the odds of having two boys and a girl in a specific order would be 2/3 * 1/3 * 1/3, which is 2/27. There are three possible combinations of 2 boys and a girl, each with the same probability of 2/27.

This means the odds of one result occurring are three times the odds of a specific result occurring. 2/27 times 3 is 6/27 or 2/9, which is correct.

Answer:
**6/7**

Since no two cubes have the same number of each color, there are 21 (0+1+2+3+4+5+6) blue squares in all. Consequently there are also 21 red squares. The odds of choosing the completely red cube are 6 in 21 since there are 6 different red squares you could've picked.

The probability of choosing the cube with 5 red sides is only 5 in 21 since now there are only 5 red squares you could've picked. The odds of choosing a cube with X red sides will be X in 21 where X is a number from 0 to 6. For there to be at least two other red sides, you had to have picked a cube with at least 3 red sides.

The odds will be (3+4+5+6)/21, which is 18/21 or 6/7.

Since no two cubes have the same number of each color, there are 21 (0+1+2+3+4+5+6) blue squares in all. Consequently there are also 21 red squares. The odds of choosing the completely red cube are 6 in 21 since there are 6 different red squares you could've picked.

The probability of choosing the cube with 5 red sides is only 5 in 21 since now there are only 5 red squares you could've picked. The odds of choosing a cube with X red sides will be X in 21 where X is a number from 0 to 6. For there to be at least two other red sides, you had to have picked a cube with at least 3 red sides.

The odds will be (3+4+5+6)/21, which is 18/21 or 6/7.

Answer:
**67/256**

There is a (3/4)(3/4)(3/4)(3/4) or 81/256 chance you won't get any questions right. There is a (3/4)(3/4)(1/4)(3/4) or 27/256 chance you will get one specific question right. There are 4 possible combinations of ways you could get one question right, so the total probability is 4(27/256) or 108/256.

The odds you will get zero or one correct are 108/256 + 81/256 = 189/256. The other 67/256 is the probability you will get at least 2 correct.

There is a (3/4)(3/4)(3/4)(3/4) or 81/256 chance you won't get any questions right. There is a (3/4)(3/4)(1/4)(3/4) or 27/256 chance you will get one specific question right. There are 4 possible combinations of ways you could get one question right, so the total probability is 4(27/256) or 108/256.

The odds you will get zero or one correct are 108/256 + 81/256 = 189/256. The other 67/256 is the probability you will get at least 2 correct.

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

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Blue
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