hartnn
  • hartnn
There are 2 bags, each can hold 50 balls; there are 50 black balls and 50 red balls. A bag is selected at random, and a ball is taken out from it. What is the maximum and minimum probability that the ball being taken out is red.
Probability
chestercat
  • chestercat
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shubhamsrg
  • shubhamsrg
let 1st bag have x red balls, then it has 50-x black balls also, 2nd bag then has 50-x red balls and x black balls if x=0 or 50, then our probability is maximum and minimum i.e. 0 and 1 ..
hartnn
  • hartnn
sure ? where did u account for the probability of selecting a bag randomly. ?
shubhamsrg
  • shubhamsrg
hmm,,i assumed 1 bag has already been taken..

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hartnn
  • hartnn
nopes, its either 1/2,0 or 1/2,1/2
hartnn
  • hartnn
i wanna know, which one, for sure....
shubhamsrg
  • shubhamsrg
after we select the bag, do we know how many balls are in there ?
shubhamsrg
  • shubhamsrg
i mean how many red balls*
hartnn
  • hartnn
do we know? NO, can we find for max and min probab ?YES
hartnn
  • hartnn
and i want to know the concept of what is min and max probability
shubhamsrg
  • shubhamsrg
then net probability i guess would be (1/2 * x/50) + (1/2 * (50-x /50) ans i guess is half? o.O missed something maybe ..
hartnn
  • hartnn
u getting 1/2,1/2 right ?
hartnn
  • hartnn
i was getting 1/2,0 some of my friends were also telling 1/2,1/2 so i got confused
shubhamsrg
  • shubhamsrg
hmm..
anonymous
  • anonymous
Even I heard it first time....... what is max and min probability.
hartnn
  • hartnn
i think max probab means a case in which the probab of selecting a red ball is max. it will be when we select a bag with all red balls in it....so 1/2
anonymous
  • anonymous
1 bags out of two. 1/2. The minimum probability you have said is quite a strange notion...if I don't choose at all, then it is 0.
anonymous
  • anonymous
I agree with the above This is b/c we get the maximum probability when one bag is filled with 50 - black balls and the other with 50 red balls. Here the probability of selecting the bag with 50 - red balls is 1/2, and then the probability of selecting a red ball from this bag is 1. Thus the maximum probability will be 1/2* 1 = 1/2. Again we get the minimum probability when one bag is filled with 50 - black balls and the other with 50 red balls, so that the probability of selecting the bag with 50 - black balls is 1/2. And from this bag the probability of selecting red ball is 0. Thus the minimum probability is 1/2 * 0 = 0. Thus @hartnn u are correct since I get 1/2, 0.
hartnn
  • hartnn
so there is no different concept like man or min probability...?
anonymous
  • anonymous
I think so.
anonymous
  • anonymous
Amazing....!!!!! Isn't it??
hartnn
  • hartnn
pretty much :)
anonymous
  • anonymous
Even @hartnn has question today.. Ha ha ha ha...
hartnn
  • hartnn
lol! i am human, can't i have questions ? :P
anonymous
  • anonymous
No.... Ha ha ha ha..

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