If 40 percent of all students at college X have brown hair and 70 percent of all students at college X have blue eyes what is the difference between the minimum and maximum probability of picking a student from college X who has neither brown hair nor blue eyes?
Choose the correct choice from the following choices: A) 0.2 B) 0.3 C) 0.4 D) 0.6 E) 0.7
Max value for y = minimum of (40,70).   Because the number of students with brown hair is 40, the maximum number of students to have both brown hair and blue eyes can only be 40.   When y=40   x=30   Probability of selecting 30 students out of 100 students = 30/100= 
<gadget id="calculator">30/100</gadget>
<output>3/10 = around 0.3</output>
0.3   x will be minimum when y is minimum.   The minimum possible value for y=10   x = y-10   x=0   Because if "y" gets less than 10; the number of students get more than 100 which is not possible.   In this case; 0 students fit the criterion of not having either. Because all students have brown hair, blue eyes or both.   Probability becomes   0/100= 
<gadget id="calculator">  0/100</gadget>
<output>0</output>
0   Difference between two probabilities= 0.3-0= 
<gadget id="calculator">0.3-0</gadget>
<output>0.3</output>
0.3   Ans: "0.3"   _______
<result>B</result>
If 40 percent of all students at college X have brown hair and 70 percent of all students at college X have blue eyes what is the difference between the minimum and maximum probability of picking a student from college X who has neither brown hair nor blue eyes?