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Mathematics 20 Online
OpenStudy (mathmath333):

Probability question

OpenStudy (mathmath333):

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

OpenStudy (misty1212):

HI!!

OpenStudy (misty1212):

what is the probability that the first one is black?

OpenStudy (mathmath333):

robability that the first one is black=2/3

OpenStudy (mathmath333):

hii!

OpenStudy (misty1212):

ok now how many black balls are left in the urn?

OpenStudy (mathmath333):

9

OpenStudy (misty1212):

right and how many balls total?

OpenStudy (mathmath333):

14

OpenStudy (misty1212):

so therefore the probability that the second ball chosen is black, given that the first ball was black, is ?

OpenStudy (mathmath333):

9/14

OpenStudy (misty1212):

exactly

OpenStudy (misty1212):

your final job is \[\frac{2}{3}\times \frac{9}{14}\]

OpenStudy (mathmath333):

3/7

OpenStudy (misty1212):

ok looks good

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