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randy has 4 pennies, 2 nickels , and 3 dimes in his pocket. if he randomly chooses 2 coins, what is the probability that both are dimes?

 Mar 9, 2015

Best Answer 

 #2
avatar+26400 
+5

Randy has 4 pennies, 2 nickels , and 3 dimes in his pocket. if he randomly chooses 2 coins, what is the probability that both are dimes ?

By the first choice we have 3 dimes of 9 coins = $$\dfrac{3}{9}$$

By the second choice we have 2 dimes of 8 coins = $$\dfrac{2}{8}$$

The probability is $$\dfrac{3}{9}\cdot\dfrac{2}{8} = \dfrac{1}{12} = 0.08\overline{3}$$

 Mar 10, 2015
 #1
avatar+130516 
+5

The total outcomes possible = C(9,2)  = 36

But, we're just interested in choosing 2 of the 3 dimes = C(3, 2)  = 3

So....the probability  is 3 / 36  =  1 / 12    =  8.33 %

 

  

 Mar 9, 2015
 #2
avatar+26400 
+5
Best Answer

Randy has 4 pennies, 2 nickels , and 3 dimes in his pocket. if he randomly chooses 2 coins, what is the probability that both are dimes ?

By the first choice we have 3 dimes of 9 coins = $$\dfrac{3}{9}$$

By the second choice we have 2 dimes of 8 coins = $$\dfrac{2}{8}$$

The probability is $$\dfrac{3}{9}\cdot\dfrac{2}{8} = \dfrac{1}{12} = 0.08\overline{3}$$

heureka Mar 10, 2015

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