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Question

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


A

47

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B

34

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C

3756

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D

None of these

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Solution

The correct option is C

3756


Explanation for the correct option:

Step 1: Find the probability that a copper coin comes when taken from the first purse:

Find the probability by selecting the first purse and then picking a copper coin from it.

p(s1)=12·47=27

Step 2: Find the probability that a copper coin comes when taken from the second purse:

Find the probability by selecting the second purse and then picking a copper coin from it.

p(s2)=12·68=38

Step 3: Find the total probability that a silver coin comes from any purse:

Find the probability by adding up the sum of the probability of each purse.

p(s)=p(s1)+p(s2)=27+38=3756

Hence, option (C) is the correct answer.


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