Probability

for the thing we have to find we can do P(intersection of 3)/P(intersection of White and Green) since it wants white in first and green in second i did 1/3 x 1/6 but i did not get ans
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18 Replies
iTeachChem Helper
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hithav
hithav7d ago
how did you do 1/3 and 1/6 arent there N balls so shouldnt you do 3/Nand 6/N-1
SirLancelotDuLac
Well, it seems they have given more information than necessary to me :/ But from the last line, if there are n balls initially then there are n-9 blue balls. Since the first and second draws were white and green, the probability that from remaining balls, the ball drawn is blue is n-9/n-2=2/9 from here n=11 You can put the value of n=11 in the second condition to see this is true. (Note that the color of the drawn balls are independant probabilities, or am I tripping somewhere?)
Gamertug
GamertugOP7d ago
why? out of the 3 white balls i selected 1 and out of the 6 green i selected 1 ans is indeed 11 what how did u do that last part
SirLancelotDuLac
It is given to us that the first ball drawn is white and the second one is green, the probability that the third ball is blue is (no. of balls that are blue)/(no. of remaining balls); the number of balls that are blue in color are n-9 while the number of remaining balls are n-2 Oh wait that sounds weird. :psyduck:
Gamertug
GamertugOP7d ago
oooh i got it this was in the solution , what did i do wrong? the 3/n and 6/N-1 was in the solution too selecting 1/3 , 1 from 3 whites whts wrong with this
SirLancelotDuLac
We want the probability that a white ball is chosen from all the other balls (which are n in number) so the probability for the same is 3/n
Gamertug
GamertugOP7d ago
isnt that the same as saying i chose 1 white ball from the 3 white balls? they are basically the same we chose 1 ball from white only
SirLancelotDuLac
From the first line, (2/5N)(9/2)=P(intersection of white and green)=3.6/(n-1).n which would give the same result i guess. No, because the first ball can be possibly green and blue also, W_1 denotes the event that the first ball drawn is white and not that one ball is drawn from white
Gamertug
GamertugOP7d ago
the first ball drawn is white so the first ball is 1/3 idk whats wrong with this 3/N also makes sense
SirLancelotDuLac
But it could have been blue or green also right?
Gamertug
GamertugOP7d ago
yes ,but we arnt even taking that in considration it says first ball drawn is white oooh wait ic
SirLancelotDuLac
That is the desired outcome. The total outcomes need to have green and blue.
Gamertug
GamertugOP7d ago
u are talking about the whole prob ye makes sense
TK
TK4d ago
@iTeachChem @CertifiedBrownMunda
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TK
TK4d ago
or will it include another k-1 im not so sure
CertifiedBrownMunda
I am sorry but I couldnt read the calculation part This is a fair analysis

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