SOLUTION: A jar contains 2 silver coins 4 copper coins, and a second jar contains 4 silver coins and 3 copper coins. If a coin is selected at random from one of the 2 jars, what is the proba

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Question 733330: A jar contains 2 silver coins 4 copper coins, and a second jar contains 4 silver coins and 3 copper coins. If a coin is selected at random from one of the 2 jars, what is the probability that it is a silver coin? The answer is 19/42 but I don't know how they got this. Please help.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
A jar contains 2 silver coins 4 copper coins, and a second jar contains 4 silver coins and 3 copper coins. If a coin is selected at random from one of the 2 jars, what is the probability that it is a silver coin? The answer is 19/42 but I don't know how they got this. Please help.
Break it down into simple events with AND's and OR's:

The probability that a silver coin is selected is the probability
of the following compound event:

matrix%281%2C1%2C_OR_%29 

The word "AND" suggests multiplying and the word "OR" suggests addition.
Therefore the probability is

matrix%281%2C1%2CPLUS%29  =

1%2F2%22%22%2A%22%222%2F6%22%22%2B%22%221%2F2%22%22%2A%22%224%2F7 =

1%2F2%22%22%2A%22%221%2F3%22%22%2B%22%221%2F2%22%22%2A%22%224%2F7 =

1%2F6%22%22%2B%22%224%2F14 =

7%2F42%22%22%2B%22%2212%2F42 =

19%2F42

Edwin