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

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

50% success! Well done!

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


find


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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

666 bro
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From: Flatland
Registered: 2019-04-26
Posts: 706

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

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

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,954

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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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

pi_cubed
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From: A rhombicosidodecahedron
Registered: 2020-06-22
Posts: 115

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)


pi³

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

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

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
(ii) a spade
(iii) the queen of diamonds.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

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

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

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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

666 bro
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From: Flatland
Registered: 2019-04-26
Posts: 706

Re: Compute the solution:

 


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

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

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,954

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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

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

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

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

Re: Compute the solution:

 


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

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

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

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

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

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi,

Neat work!

691. Solve:



It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

Re: Compute the solution:


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

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

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Neat work!

692. If

, find


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

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

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

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

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

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

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi,

Good attempt!

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


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

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

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

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: Compute the solution:

Hi,

Excellent!

695. If


then show that


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

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

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