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hartnn Group Title

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.

  • one year ago
  • one year ago

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  1. shubhamsrg Group Title
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    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 ..

    • one year ago
  2. hartnn Group Title
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    sure ? where did u account for the probability of selecting a bag randomly. ?

    • one year ago
  3. shubhamsrg Group Title
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    hmm,,i assumed 1 bag has already been taken..

    • one year ago
  4. hartnn Group Title
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    nopes, its either 1/2,0 or 1/2,1/2

    • one year ago
  5. hartnn Group Title
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    i wanna know, which one, for sure....

    • one year ago
  6. shubhamsrg Group Title
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    after we select the bag, do we know how many balls are in there ?

    • one year ago
  7. shubhamsrg Group Title
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    i mean how many red balls*

    • one year ago
  8. hartnn Group Title
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    do we know? NO, can we find for max and min probab ?YES

    • one year ago
  9. hartnn Group Title
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    and i want to know the concept of what is min and max probability

    • one year ago
  10. shubhamsrg Group Title
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    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 ..

    • one year ago
  11. hartnn Group Title
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    u getting 1/2,1/2 right ?

    • one year ago
  12. hartnn Group Title
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    i was getting 1/2,0 some of my friends were also telling 1/2,1/2 so i got confused

    • one year ago
  13. shubhamsrg Group Title
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    hmm..

    • one year ago
  14. sauravshakya Group Title
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    Even I heard it first time....... what is max and min probability.

    • one year ago
  15. hartnn Group Title
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    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

    • one year ago
  16. Shadowys Group Title
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    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.

    • one year ago
  17. Zekarias Group Title
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    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.

    • one year ago
  18. hartnn Group Title
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    so there is no different concept like man or min probability...?

    • one year ago
  19. Zekarias Group Title
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    I think so.

    • one year ago
  20. waterineyes Group Title
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    Amazing....!!!!! Isn't it??

    • one year ago
  21. hartnn Group Title
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    pretty much :)

    • one year ago
  22. waterineyes Group Title
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    Even @hartnn has question today.. Ha ha ha ha...

    • one year ago
  23. hartnn Group Title
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    lol! i am human, can't i have questions ? :P

    • one year ago
  24. waterineyes Group Title
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    No.... Ha ha ha ha..

    • one year ago
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