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

You are not logged in.

- Topics: Active | Unanswered

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

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.

Offline

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

Hello ganesh,

Offline

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

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.

Offline

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

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

Offline

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

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.

Offline

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

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.

Offline

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

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

Offline

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

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.

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

Offline

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

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

Offline

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

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.

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

Offline

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

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.

Offline

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

Hi,

Hope it helps!

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

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

Offline

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

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.

Offline

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

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.

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

Offline

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

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

Offline

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

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.

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

Offline

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

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

Offline

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

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.

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

Offline

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

*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.

Offline

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

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.

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

Offline

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

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

Offline

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

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

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

Offline

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

Hello,

Offline

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

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.

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

Offline

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

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

Offline