ShoutBox (Part 1)

@abhimukh19 said:
@brixcel i think we broke the rhythm of some studious people on SBT ,suddenly quant question discussion has stopped
hehehee 😁 :splat: that keeps happening... People are used to it 😁 :mg:
@ankita14 said:
Humka bhi shaadi karni hai :/
kauno nalayak ko pasand kiye ka abhi ? 😁 😁

anyways if anybody is interested in discussing marketing , finance , HR , IT , economics .. etc m always up for it :mg:

@sameersapre23 said:
A die is thrown and a coin is then tossed as many times as the number shown by the die. What is the probability of getting more number of heads than tails?
(47 ,87,77,97) / 192
Probability of each number on die = 1/6

E = Event when head occurs more number of times than tails

When 1 is rolled: P(E) = 1/2 (H)
When 2 is rolled: P(E) = 1/4 (HH)
When 3 is rolled: P(E) = 1/8 (HHH) + 3/8 (HHT)
When 4 is rolled: P(E) = 1/16 (HHHH) + 4/16 (HHHT)
When 5 is rolled: P(E) = 1/32 (HHHHH) + 5/32 (HHHHT) + 10/32 (HHHTT)
When 6 is rolled: P(E) = 1/64 (HHHHHH) + 6/64 (HHHHHT) + 15/64 (HHHHTT)

1/6 *( 1/2 + 1/4 + 1/2 + 5/16 + 1/2 + 22/64) = 77/192

Alternative:

Whenever a die is thrown odd number of times, there are equal cases when Heads are more than Tails, and Tails are more than heads, -> P(H more) = 1/2

Whenever a die is thrown even number of times, there are three types of cases, Heads = Tails, Heads > Tails , Tails > Heads. If we remove the Heads = Tails case, and divide the remaining probability by 2, we will get P(H more) = 1/2 * ( 1 - P(H=T))

Using the above we get 1/6 *( 1/2 + 1/4 + 1/2 + 5/16+ 1/2 + 22/64) = 77/192..

Second method is shorter I think...

PS: Figured out the shorter method while doing the question.. Damn !
Two white squares and a black square have to be chosen from a chess board such that no two of them are in the same row or column. In how many ways can the selection be made?

6400
2400
3200
none of these........!!
@abhimukh19 said:
M sure gangs of wasseypur ka hi koi hoga
No way , shadi se vishwaash uth gya hai mera
Gangs of Wasseypur...maine nahi dekhi abhi :|
@YouMadFellow said:
Chalega .. Jaate jaate wo geometry ke question ka solution bata do ! Square me maximum R of semi-circle...
Sirjee.. answer is 1) option ... [2 - root(2)] hai!
@ankita14 said:
Humka bhi shaadi karni hai :/
o.O
@abhimukh19 said:
anyways if anybody is interested in discussing marketing , finance , HR , IT , economics .. etc m always up for it
@hanushanand said:
Sirjee.. answer is 1) option ... [2 - root(2)] hai!
Maine solution maanga tha .. Dusre wale ka bhi de do.. x^2 + 1/x^2 ... Geometry weak hai :splat:
@ankita14 said:
Humka bhi shaadi karni hai :/
Go ahead :mg: next month karna ,Catering ,Tent pe discount milega season araha hai :p
@brixcel said:
kauno nalayak ko pasand kiye ka abhi ?
Kono nalayak humka pasanda hi naahi karat :splat:
@abhimukh19 said:
Go ahead next month karna ,Catering ,Tent pe discount milega season araha hai
Kono ladka jaanat ho? :lookround:
@Ibanez said:
o.O
Ka? :/
@YouMadFellow said:
Probability of each number on die = 1/6
E = Event when head occurs more number of times than tails
When 1 is rolled: P(E) = 1/2 (H)
When 2 is rolled: P(E) = 1/4 (HH)
When 3 is rolled: P(E) = 1/8 (HHH) + 3/8 (HHT)
When 4 is rolled: P(E) = 1/16 (HHHH) + 4/16 (HHHT)
When 5 is rolled: P(E) = 1/32 (HHHHH) + 5/32 (HHHHT) + 10/32 (HHHTT)
When 6 is rolled: P(E) = 1/64 (HHHHHH) + 6/64 (HHHHHT) + 15/64 (HHHHTT)
1/6 *( 1/2 + 1/4 + 1/2 + 5/16 + 1/2 + 22/64) = 77/192
Alternative:
Whenever a die is thrown odd number of times, there are equal cases when Heads are more than Tails, and Tails are more than heads, -> P(H more) = 1/2
Whenever a die is thrown even number of times, there are three types of cases, Heads = Tails, Heads > Tails , Tails > Heads. If we remove the Heads = Tails case, and divide the remaining probability by 2, we will get P(H more) = 1/2 * ( 1 - P(H=T))
Using the above we get 1/6 *( 1/2 + 1/4 + 1/2 + 5/16+ 1/2 + 22/64) = 77/192..
Second method is shorter I think...
PS: Figured out the shorter method while doing the question.. Damn !
gud one .........sir....!!yes it is shorter.........!! but waha cat mai click hona chayee....!!
second method mujhe kabhi click ni hota.........!!
@ankita14 said:
Kono ladka jaanat ho?
Haan janta to main Salman Khan ko bhi hu.. but wo muje nai janta :mg:

@naga25french sir have u seen the documentary on enron fraud?
@ankita14
@ankita14 said:
Kono ladka jaanat ho?
dehati bhasha ka prayog
@ankita14 said:
Kono nalayak humka pasanda hi naahi karat
ee to gambhir samasya khadi hoi gayi....photu-wa mein to tum achchhi dikhat ho...fir kaahe aisan bolat ho ? :mg:
@YouMadFellow said:
Probability of each number on die = 1/6
E = Event when head occurs more number of times than tails
When 1 is rolled: P(E) = 1/2 (H)
When 2 is rolled: P(E) = 1/4 (HH)
When 3 is rolled: P(E) = 1/8 (HHH) + 3/8 (HHT)
When 4 is rolled: P(E) = 1/16 (HHHH) + 4/16 (HHHT)
When 5 is rolled: P(E) = 1/32 (HHHHH) + 5/32 (HHHHT) + 10/32 (HHHTT)
When 6 is rolled: P(E) = 1/64 (HHHHHH) + 6/64 (HHHHHT) + 15/64 (HHHHTT)
1/6 *( 1/2 + 1/4 + 1/2 + 5/16 + 1/2 + 22/64) = 77/192
Alternative:
Whenever a die is thrown odd number of times, there are equal cases when Heads are more than Tails, and Tails are more than heads, -> P(H more) = 1/2
Whenever a die is thrown even number of times, there are three types of cases, Heads = Tails, Heads > Tails , Tails > Heads. If we remove the Heads = Tails case, and divide the remaining probability by 2, we will get P(H more) = 1/2 * ( 1 - P(H=T))
Using the above we get 1/6 *( 1/2 + 1/4 + 1/2 + 5/16+ 1/2 + 22/64) = 77/192..
Second method is shorter I think...
PS: Figured out the shorter method while doing the question.. Damn !
Ye sab aapne type kiya kya??
@ankita14 said:
Ka? :/
Invite zaroor karna.