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: 31,215

50% success! Well done!

683. If A is an event of a random experiment such that

find

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

**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 456

(a) : p(a) = 2/7.

(b) : p(ā) = 5/7.

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,215

Neat work!

684. One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting:

(i) a king of red color

(ii) a face card

(iii) a red face card.

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

**pi_cubed****Member**- From: A rhombicosidodecahedron
- Registered: 2020-06-22
- Posts: 63

ganesh wrote:

Neat work!

684. One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting:

(i) a king of red color

(ii) a face card

(iii) a red face card.

I read that last question wrong (the one that I got 50% on).

P(i) = 1/26

P(ii) = 3/13

P(iii) = 3/26

*Last edited by pi_cubed (2020-07-02 14:18:46)*

e to the i pi plus 1 is zero -Leonhard Euler | a squared plus b squared equals c squared -Pythagoras | Energy equals mass times the speed of light squared -Albert Einstein | i² = -1 | x^2+1=0 x^2=-1 x=i

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,215

Hi,

Neat work!

685. One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting:

(i) the jack of hearts

(ii) a spade

(iii) the queen of diamonds.

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

**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 456

p(1) : 1/52

p(2) : 1/4

p(3) : 1/52

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,215

Good work!

686. A die is thrown twice. What is the probability of

(i) 5 will not come up either time?

(ii) 5 will come up at least once?

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: 456

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,215

Good work!

687. One number card is chosen randomly from the number cards 1 to 25. Find the probability of it being divisible by 3 or 11.

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,215

Hi,

688. A number is selected at random from 1 to 50. What is the probability of it being

(a) prime number

(b) not a perfect cube

(c) a perfect square

(d) a triangular number

(e)a multiple of 6

(f) not a multiple of 2?

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: 456

*Last edited by 666 bro (2020-07-05 22:38:07)*

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,215

Hi,

Neat work!

689. A two-digit number is formed with the digits 2, 5, and 7, where repetition of digits is not allowed. Find the probability of the number so formed is:

(a) a square number

(b) divisible by 3

(3) greater than 52

(d) less than 57

(e) less than 25

(f) a whole number.

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: 456

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,215

Hi,

Neat work!

690. The inner diameter of a cylindrical wooden pipe is 24 centimeters and its outer diameter is 28 centimeters. The pipe is 35 centimeters long. Find the mass of the pipe if 1 cubic centimeters of wood has a mass of 0.6 grams.

Use

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: 456

*Last edited by 666 bro (2020-07-07 15:42:28)*

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,215

Hi,

Neat work!

691. Solve:

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: 456

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,215

Neat work!

692. If

, findNothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 456

*Last edited by 666 bro (2020-07-09 13:18:54)*

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,215

Hi,

Neat work!

693. The wheel of a motorcycle is of radius 35 centimeters. How many revolutions per minute must the wheel make, so as to keep a speed of 66 kilometers per hour?

Use

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: 456

*Last edited by 666 bro (2020-07-10 14:22:52)*

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,215

Hi,

Good attempt!

#694. Find the sum of the two middle most terms of an Arithmetic Progression

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: 456

*Last edited by 666 bro (2020-07-12 13:29:35)*

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 31,215

Hi,

Excellent!

695. If

then show that

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: 456

*Last edited by 666 bro (2020-07-13 14:32:09)*

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

Offline