Peter must choose a lab partner by picking a name out of a bag. If the bag has 9 male names and F female names, what is the least number of female names in the bag if the probability of choosing a male lab partner is less than 3 out of 7?
Options:
A) 11
B) 12
C) 13
D) 14
E) 16
Male Names in the bag = 9   Female Names in the bag = F   Probability of selecting a male name is = P = 9/(9+F)   The question asked is "what is the least number of female names in the bag if the probability of choosing a male lab partner is less than 3 out of 7?"   so, we need to find out the minimum value of F for which P&lt;3/7   9/(9+F) &lt; 3/7   Solving for F gives the equation;   F&gt;12   Since the question asked is the minimum value F should be 13   ( F should be an integer).   ANSWER:13
<result>C</result>
Peter must choose a lab partner by picking a name out of a bag. If the bag has 9 male names and F female names, what is the least number of female names in the bag if the probability of choosing a male lab partner is less than 3 out of 7?