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Q. A purse contains $4$ copper coins and $3$ silver coins, the second purse contains $6$ copper coins and $2$ silver coins. If a coin is drawn out of any purse, then the probability that it is a copper coin is

UPSEEUPSEE 2012

Solution:

$\therefore $ Required probability $=\frac{1}{2} \cdot \frac{4}{7}+\frac{1}{2} \cdot \frac{6}{8}=\frac{37}{56}$