# Math Is Fun Forum

Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

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## #1501 2021-01-04 21:13:49

ganesh
Registered: 2005-06-28
Posts: 33,022

### Re: Compute the solution:

Neat work!

838. A basket contains 5 red, 6 black, and 9 blue balls. If three balls are drawn simultaneously, find the probability of all three are of same color.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #1502 2021-01-05 01:28:46

Denominator
Member
Registered: 2009-11-23
Posts: 215

Hello ganesh,

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## #1503 2021-01-05 03:05:31

ganesh
Registered: 2005-06-28
Posts: 33,022

### Re: Compute the solution:

Hi,

.

Excellent!

839. A fruit basket contains 10 mangoes and 12 oranges out of which 3 oranges and 2 mangoes are bad. If two fruits are selected at random, find the probability of both are mangoes or both are good.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #1504 2021-01-05 05:16:35

irspow
Member
Registered: 2005-11-24
Posts: 1,055

### Re: Compute the solution:

I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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## #1505 2021-01-05 12:19:19

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,048

### Re: Compute the solution:

hi ganesh

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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## #1506 2021-01-05 13:12:31

ganesh
Registered: 2005-06-28
Posts: 33,022

### Re: Compute the solution:

Hi irspow and anonimnystefy,

Excellent!

840. A bag contains 5 red and 6 black balls. Three balls are drawn one by one with replacement. What is the probability of all the three ball being black?
(ii) In the first part, if 3 balls are drawn one by one with replacement, find the probability of 2 balls being red and one ball being black.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #1507 2021-01-06 07:02:49

irspow
Member
Registered: 2005-11-24
Posts: 1,055

### Re: Compute the solution:

I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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## #1508 2021-01-06 13:21:26

ganesh
Registered: 2005-06-28
Posts: 33,022

### Re: Compute the solution:

Excellent, irspow!

841. Five squares are chosen at random, in a chessboard. Find the probability of getting 3 are of one color and 2 of the other.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #1509 2021-01-06 20:32:47

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 630

### Re: Compute the solution:

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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## #1510 2021-01-06 23:28:32

ganesh
Registered: 2005-06-28
Posts: 33,022

### Re: Compute the solution:

Keep trying!

842. A number is selected at random, between 100 - 999 (both included). Find the probability of it being an even number with no digit repeated.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #1511 2021-01-07 05:06:03

irspow
Member
Registered: 2005-11-24
Posts: 1,055

### Re: Compute the solution:

Hey Ganesh, 841 & 842 both had me completely stumped. Would you please show the method of solution for them when you post the solution. I assume they are rather simple combinations and/or permutations, but I am having trouble figuring out how to recognize which are the correct applications for these problems.

I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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## #1512 2021-01-07 13:20:05

ganesh
Registered: 2005-06-28
Posts: 33,022

### Re: Compute the solution:

Hi,

Hope it helps!

843. Find the probability of all the Is coming together in the word SIMPLICITY.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #1513 2021-01-08 06:14:14

irspow
Member
Registered: 2005-11-24
Posts: 1,055

### Re: Compute the solution:

Thanks for showing your work, you are awesome.

I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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## #1514 2021-01-08 13:48:01

ganesh
Registered: 2005-06-28
Posts: 33,022

### Re: Compute the solution:

Hi,

My pleasure, irspow!

Neat work!

844. A five digit is formed using the digits from 1 to 9 without repetition. Find the probability of the number being divisible by 5.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #1515 2021-01-08 17:18:46

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 630

### Re: Compute the solution:

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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## #1516 2021-01-08 22:37:56

ganesh
Registered: 2005-06-28
Posts: 33,022

### Re: Compute the solution:

Neat work!

845. A bag contains 5 red and 3 black balls. Another bag contains 3 red and 5 black balls. If a ball is drawn from each bag, find the probability of both being red.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #1517 2021-01-09 05:14:42

irspow
Member
Registered: 2005-11-24
Posts: 1,055

### Re: Compute the solution:

I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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## #1518 2021-01-09 14:54:51

ganesh
Registered: 2005-06-28
Posts: 33,022

### Re: Compute the solution:

Neat work!

846. Find the probability of getting a 3, when two dice are rolled together, given that sum of the digits on the top faces of the two dice is 8.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #1519 2021-01-10 03:44:29

irspow
Member
Registered: 2005-11-24
Posts: 1,055

### Re: Compute the solution:

Last edited by irspow (2021-01-10 03:45:27)

I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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## #1520 2021-01-10 13:46:05

ganesh
Registered: 2005-06-28
Posts: 33,022

### Re: Compute the solution:

Neat work!

847. Three numbered cards are selected at random, with replacement from a pack of cards numbered 10 - 20. Find the probability of 2 odd numbered cards and 1 even numbered card being selected.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #1521 2021-01-11 03:30:19

irspow
Member
Registered: 2005-11-24
Posts: 1,055

### Re: Compute the solution:

I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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## #1522 2021-01-11 14:23:14

ganesh
Registered: 2005-06-28
Posts: 33,022

### Re: Compute the solution:

Excellent!

848. Five travelers seep accommodation in 7 hotels in a city. Find the probability of all the five persons stay in a different hotel

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #1523 2021-01-11 15:50:11

Denominator
Member
Registered: 2009-11-23
Posts: 215

Hello,

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## #1524 2021-01-11 23:43:23

ganesh
Registered: 2005-06-28
Posts: 33,022

### Re: Compute the solution:

Hi,

Excellent, Denominator!

849. Five sweets are distributed among five children. Find the probability of at least one of them does not get any sweet.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #1525 2021-01-13 23:18:50

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 630

### Re: Compute the solution:

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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