Math Is Fun Forum

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

50% success! Well done!

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

find

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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.

666 bro

Member

From: Flatland

Registered: 2019-04-26

Posts: 706

Re: Compute the solution:

(a) : p(a) = 2/7.
(b) : p(ā) = 5/7.

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

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

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.

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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.

pi_cubed

Member

From: A rhombicosidodecahedron

Registered: 2020-06-22

Posts: 115

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.

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)

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pi³

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

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.

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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.

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

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

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

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?

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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.

666 bro

Member

From: Flatland

Registered: 2019-04-26

Posts: 706

Re: Compute the solution:

 

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

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

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.

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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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

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?

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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.

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)

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

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

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.

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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.

666 bro

Member

From: Flatland

Registered: 2019-04-26

Posts: 706

Re: Compute the solution:

 

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

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

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

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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.

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)

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

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi,

Neat work!

691. Solve:

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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.

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

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Neat work!

692. If

, find

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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.

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)

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

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

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.

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)

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

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi,

Good attempt!

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

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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.

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)

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

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi,

Excellent!

695. If

then show that

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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.

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)

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