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#1526 2021-01-14 00:02:14

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Keep trying!

850. P and Q roll a pair of dice one after the other. If P throws 5 before Q throws 6, P wins but if Q throws 6 before P throws 5, Q wins. If P throws first, find their respective chances of winning.


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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#1527 2021-01-14 04:07:41

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

Re: Compute the solution:

Last edited by irspow (2021-01-14 07:20:14)


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

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#1528 2021-01-14 14:10:04

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi,

851. A letter is selected at random from 'Malignant' and another is selected from 'Negligent'. Find the probability of having the same letters.


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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#1529 2021-01-15 05:05:21

zainyusufazam
Member
From: Canada eh?
Registered: 2021-01-14
Posts: 6

Re: Compute the solution:

hi, I'd like to try

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#1530 2021-01-15 05:35:13

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

Re: Compute the solution:

As to 850, I know where I made a false assumption that rolls alternated regardless of who won. Under that assumption P(P) and P(Q) were indeed 4/9 and 5/9 respectively. However if P always rolls first after a win we see:


I think big_smile

Last edited by irspow (2021-01-15 11:47:22)


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

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#1531 2021-01-15 13:35:22

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi zainyusufazam and irspow,

Neat work!

852. Find the probability of all the Ss coming together in the word 'ASSISTANCE'.


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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#1532 2021-01-16 21:28:16

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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#1533 2021-01-16 23:29:55

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Keep trying!

853. From a pack of 52 cards, two cards are drawn one by one without replacement. Find the probability of both being Jacks.


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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#1534 2021-01-17 05:38:56

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

Re: Compute the solution:


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

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#1535 2021-01-17 14:33:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Good work!

854. Find the sum of all the factors of 36000 which are multiples of 10.


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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#1536 2021-01-19 04:14:43

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

Re: Compute the solution:

Stumped smile I could brute strength it, but I know there is an elegant solution that I am missing as 2^5(3^2)5^3 has something around 45 factors of ten. Can I cheat and take ALL factors as literal including negatives? Then the sum would equal zero? big_smile


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

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#1537 2021-01-19 14:35:16

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi,

855. Find the remainder when

is divided by 5.


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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#1538 2021-01-20 05:28:14

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

Re: Compute the solution:


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

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#1539 2021-01-20 14:55:10

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Neat work!

856. Find the number of factors in the expression


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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#1540 2021-01-20 20:37:37

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

Re: Compute the solution:

Last edited by 666 bro (2021-01-20 20:38:30)


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

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#1541 2021-01-20 22:45:32

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Keep trying!

857. Find the smallest number with which 1360800 must be multiplied or divided to make it a perfect square.


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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#1542 2021-01-21 04:07:08

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

Re: Compute the solution:


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

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#1543 2021-01-21 15:03:56

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi,

Splendid!

858. Given

how many zeroes are there at the end of y?


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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#1544 2021-01-22 09:16:26

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

Re: Compute the solution:


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

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#1545 2021-01-22 13:45:32

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi,

Excellent!

859.


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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#1546 2021-01-23 09:49:35

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

Re: Compute the solution:

Last edited by irspow (2021-01-23 09:57:58)


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

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#1547 2021-01-23 13:19:23

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi,

Excellent!

860. What least number must be added to 5361, to make it exactly divisible by 34?


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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#1548 2021-01-24 08:17:54

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

Re: Compute the solution:


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

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#1549 2021-01-24 12:37:21

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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#1550 2021-01-24 13:36:41

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi irspow and 666 bro,

Neat work!

861. By what number is divisible by


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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