Carolina has 1 nickel and 5 pennies in her pocket. If she pulls 2 coins out of her pocket simultaneously and randomly, what is the probability that she will be holding exactly 6 cents?  Pick one:	A) 1/3	B) 4/15	C) 5/6	D) 6/10	E) 2/15
The probability is equal to the number of desired choices divided by the total number of possibilities.   Probability = Favorable/Total   Total = 6C2 = 6*5/2= 
<gadget id="calculator">6*5/2</gadget>
<output>15</output>
15   Favorable:   Pick 1 penny out of 5 pennies   AND   Pick the 1 nickel   5C1*1C1= 5*1= 
<gadget id="calculator">5*1</gadget>
<output>5</output>
5   P= 5/15 = 1/3   When you use combination method, it is picking all possible cases and the order doesn't matter. Whereas, upon choosing probability method to solve, order matters.   Thus,   Total Probability:   Probability of choosing a penny first 1/3ND Probability of choosing the nickel   OR   Probability of choosing the nickel first 1/3ND Probability of choosing a penny   1/3nswer: 1/3
<result>A</result>
Carolina has 1 nickel and 5 pennies in her pocket. If she pulls 2 coins out of her pocket simultaneously and randomly, what is the probability that she will be holding exactly 6 cents?