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mathmath333

  • one year ago

Probability question

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  1. mathmath333
    • one year ago
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    \(\large \color{black}{\begin{align} & \normalsize \text{10 black and 5 white balls. Two balls are drawn from the}\hspace{.33em}\\~\\ & \normalsize \text{urn one after the other without replacement. What is the}\hspace{.33em}\\~\\ & \normalsize \text{ probability that both drawn balls are black? }\hspace{.33em}\\~\\ \end{align}}\)

  2. misty1212
    • one year ago
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    HI!!

  3. misty1212
    • one year ago
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    what is the probability that the first one is black?

  4. mathmath333
    • one year ago
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    robability that the first one is black=2/3

  5. mathmath333
    • one year ago
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    hii!

  6. misty1212
    • one year ago
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    ok now how many black balls are left in the urn?

  7. mathmath333
    • one year ago
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    9

  8. misty1212
    • one year ago
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    right and how many balls total?

  9. mathmath333
    • one year ago
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    14

  10. misty1212
    • one year ago
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    so therefore the probability that the second ball chosen is black, given that the first ball was black, is ?

  11. mathmath333
    • one year ago
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    9/14

  12. misty1212
    • one year ago
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    exactly

  13. misty1212
    • one year ago
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    your final job is \[\frac{2}{3}\times \frac{9}{14}\]

  14. mathmath333
    • one year ago
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    3/7

  15. misty1212
    • one year ago
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    ok looks good

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