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Probability question
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\(\large \color{black}{\begin{align} & \normalsize \text{10 black and 5 white balls. Two balls are drawn from the}\hspace{.33em}\\~\\ & \normalsize \text{urn one after the other without replacement. What is the}\hspace{.33em}\\~\\ & \normalsize \text{ probability that both drawn balls are black? }\hspace{.33em}\\~\\ \end{align}}\)
HI!!
what is the probability that the first one is black?
robability that the first one is black=2/3
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ok now how many black balls are left in the urn?
9
right and how many balls total?
14
so therefore the probability that the second ball chosen is black, given that the first ball was black, is ?
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9/14
exactly
your final job is \[\frac{2}{3}\times \frac{9}{14}\]
3/7
ok looks good
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