In April's entire movie collection she has only 4 movies she likes, even though she has 13 movies. If she picks 2 movies randomly and simultaneously from her collection, what is the probability that exactly 1 of the movies will be one that she likes?	Choose the correct option.
A) 4/13
B) 21/36
C) 1/12
D) 6/13
E) 9/26
The probability is equal to the number of desired choices divided by the total number of possibilities.   Probability = Favorable/Total   Total = 13C2 = 13*12/2= 
<gadget id="calculator">13*12/2</gadget>
<output>78</output>
78   Favorable:   Pick 1 out of 4 movies she likes   AND   Pick 1 out of 9 movies she doesn't like   4C1*9C1= 4*9= 
<gadget id="calculator">4*9</gadget>
<output>36</output>
36   P= 36/78 = 6/13   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 movie she likes first AN6/13 Probability of choosing a movie she doesn't like   OR   Probability of choosing a movie she doesn't like first AN6/13 Probability of choosing a movie she likes
<result>D</result>
In April's entire movie collection she has only 4 movies she likes, even though she has 13 movies. If she picks 2 movies randomly and simultaneously from her collection, what is the probability that exactly 1 of the movies will be one that she likes?