A polling company reports that there is a 50% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. What is the chance that the candidate will sign Bill Z?	Choose the correct answer.
A) 11 B) 10 C) 6 D) 4 E) 5
50% - Candidate Elected   100%-60% = 40% - Candidate doesnotsigh Bill X   50% - Candidate randomly chooses between two bills.   These are multiplicative:   50% x 40% x 50%   0.5 x 0.4 x 0.5 100 -60= 
<gadget id="calculator">100 -60</gadget>
<output>40</output>
40% - Candidate doesnotsigh Bill X   50% - Candidate randomly chooses between two bills.   These are multiplicative:   50% x 40% x 50%   0.5 x 0.4 x 0.5= 0.10 = 10%   Answer (10)
<result>B</result>
A polling company reports that there is a 50% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. What is the chance that the candidate will sign Bill Z?