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mathmath333

  • one year ago

Probability question.

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  1. mathmath333
    • one year ago
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    \(\large \color{black}{\begin{align}& \normalsize \text{A box contains 10 red marbles, 20 blue marbles and 30 green marbles}\hspace{.33em}\\~\\ & \normalsize \text{5 marbles are drawn from the box}\hspace{.33em}\\~\\ & \normalsize \text{what is the probability that } \hspace{.33em}\\~\\ & \normalsize \text{(i) atleast one will be green?}\hspace{.33em}\\~\\ \end{align}}\)

  2. ganeshie8
    • one year ago
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    may be work the probability for "none will be green" then subtract that from 1

  3. mathmath333
    • one year ago
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    phi is a person , he is not a method

  4. mathmath333
    • one year ago
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    but substracting from (1- "none will be green") Will resemble all will be green

  5. ganeshie8
    • one year ago
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    whats the negation of "none of them are green" ?

  6. ganeshie8
    • one year ago
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    do you say "none of them are green" to below set ? {B R B R G B} ?

  7. mathmath333
    • one year ago
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    All will be green ? Or At least one will be green . i am confused

  8. mathmath333
    • one year ago
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    \(\color{blue}{\text{Originally Posted by}}\) @ganeshie8 do you say "none of them are green" to below set ? {B R B R G B} ? \(\color{blue}{\text{End of Quote}}\) one G is green.

  9. ganeshie8
    • one year ago
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    negation of "none of them are green" is "at least one of them is green"

  10. mathmath333
    • one year ago
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    ok my english / logic is weak.

  11. ganeshie8
    • one year ago
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    your english/logic is fine, it takes some to see why above is true lets do some examples may be

  12. mathmath333
    • one year ago
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    ok

  13. ganeshie8
    • one year ago
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    whats the opposite of statement : "all of them are green"

  14. ganeshie8
    • one year ago
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    whats the opposite of statement : "all of them did good"

  15. mathmath333
    • one year ago
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    none of them is green

  16. ganeshie8
    • one year ago
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    wrong

  17. mathmath333
    • one year ago
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    y

  18. ganeshie8
    • one year ago
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    opposite of "all of them are green" is "not all of them are green" which is same as "at least one of them is not green"

  19. mathmath333
    • one year ago
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    ohk

  20. ganeshie8
    • one year ago
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    lets do couple more quick examples

  21. ganeshie8
    • one year ago
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    whats the opposite of "at least one of my shirts is red"

  22. mathmath333
    • one year ago
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    None of my shirts is red

  23. ganeshie8
    • one year ago
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    good, whats the opposite of "all of my shirts are blue"

  24. mathmath333
    • one year ago
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    all of my shirts are not blue

  25. ganeshie8
    • one year ago
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    do you mean : "there is at least one shirt that is not blue" ?

  26. mathmath333
    • one year ago
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    ya this one

  27. ganeshie8
    • one year ago
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    good are you confident or want to do couple more ?

  28. mathmath333
    • one year ago
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    confident

  29. ganeshie8
    • one year ago
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    so from probability rules you must be knowing that \[P(A) + P(A)' = 1\]

  30. mathmath333
    • one year ago
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    yes

  31. ganeshie8
    • one year ago
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    In our case, \(P(A)\) : at least one of them is green \(P(A)'\) : ?

  32. mathmath333
    • one year ago
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    none of them is green

  33. ganeshie8
    • one year ago
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    good, find its probability

  34. mathmath333
    • one year ago
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    =1-(30C5)/(60C5)

  35. ganeshie8
    • one year ago
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    Perfect!

  36. ganeshie8
    • one year ago
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    that is correct, but could you explain how you got that ?

  37. mathmath333
    • one year ago
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    p'(a)=1-p(a) p(a)=none of them is green

  38. ganeshie8
    • one year ago
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    looks good!

  39. ganeshie8
    • one year ago
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    do you double check ur answer by working it using an alternative method ?

  40. mathmath333
    • one year ago
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    as per probablity the chance of getting 1 from dice is 1/6 so is it true that if i threw a dice 6 times there will be 1 at least

  41. mathmath333
    • one year ago
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    no i check by back of the book

  42. ganeshie8
    • one year ago
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    probability is never "exactly" true

  43. ganeshie8
    • one year ago
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    we say that seeing "1" at least once is more likely when you threw a dice 6 times

  44. ganeshie8
    • one year ago
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    sometimes you might not get a single 1 even if you throw it 100 times that can happen

  45. mathmath333
    • one year ago
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    ok so its not true

  46. ganeshie8
    • one year ago
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    yes, you can't use probability to win bets

  47. mathmath333
    • one year ago
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    yep

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