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

You are not logged in.

## #1151 2020-07-01 01:57:23

ganesh
Registered: 2005-06-28
Posts: 32,080

### Re: Compute the solution:

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

## #1152 2020-07-01 15:16:10

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 618

### Re: Compute the solution:

(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

## #1153 2020-07-01 15:59:48

ganesh
Registered: 2005-06-28
Posts: 32,080

### Re: Compute the solution:

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

## #1154 2020-07-02 14:17:02

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

### Re: Compute the solution:

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

## #1155 2020-07-02 14:29:59

ganesh
Registered: 2005-06-28
Posts: 32,080

### Re: Compute the solution:

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
(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

## #1156 2020-07-02 14:59:37

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 618

### Re: Compute the solution:

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

## #1157 2020-07-02 16:54:53

ganesh
Registered: 2005-06-28
Posts: 32,080

### Re: Compute the solution:

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?

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

## #1158 2020-07-03 15:10:21

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 618

### Re: Compute the solution:

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

Offline

## #1159 2020-07-03 15:27:38

ganesh
Registered: 2005-06-28
Posts: 32,080

### Re: Compute the solution:

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.

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

## #1160 2020-07-05 20:10:58

ganesh
Registered: 2005-06-28
Posts: 32,080

### Re: Compute the solution:

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?

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

## #1161 2020-07-05 22:36:57

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 618

### Re: Compute the solution:

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

## #1162 2020-07-05 23:09:46

ganesh
Registered: 2005-06-28
Posts: 32,080

### Re: Compute the solution:

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.

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

## #1163 2020-07-06 17:17:25

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 618

### Re: Compute the solution:

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

Offline

## #1164 2020-07-06 19:44:05

ganesh
Registered: 2005-06-28
Posts: 32,080

### Re: Compute the solution:

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

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

## #1165 2020-07-07 15:40:08

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 618

### Re: Compute the solution:

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

## #1166 2020-07-07 19:14:42

ganesh
Registered: 2005-06-28
Posts: 32,080

### Re: Compute the solution:

Hi,

Neat work!

691. Solve:

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

## #1167 2020-07-08 15:03:52

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 618

### Re: Compute the solution:

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

Offline

## #1168 2020-07-08 15:25:33

ganesh
Registered: 2005-06-28
Posts: 32,080

### Re: Compute the solution:

Neat work!

692. If

, 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

## #1169 2020-07-09 13:17:42

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 618

### Re: Compute the solution:

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

## #1170 2020-07-09 13:56:36

ganesh
Registered: 2005-06-28
Posts: 32,080

### Re: Compute the solution:

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

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

## #1171 2020-07-10 14:22:26

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 618

### Re: Compute the solution:

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

## #1172 2020-07-10 16:14:59

ganesh
Registered: 2005-06-28
Posts: 32,080

### Re: Compute the solution:

Hi,

Good attempt!

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

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

## #1173 2020-07-12 13:27:37

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 618

### Re: Compute the solution:

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

## #1174 2020-07-12 13:57:54

ganesh
Registered: 2005-06-28
Posts: 32,080

### Re: Compute the solution:

Hi,

Excellent!

695. If

then show that

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

## #1175 2020-07-13 14:31:51

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 618

### Re: Compute the solution:

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