Naveen has a bag that contains 6 blue marbles, 3 green marbles, and 1 red marble. He will draw one marble randomly from the bag.
Naveen is studying the effects of adding and removing marbles from the bag. Write a number in each blank to correctly complete the statements. If Naveen wants make sure that drawing a red marble is equally likely as drawing a different color marble, then he could add _____ red marble(s) to the bag.
If Naveen wants to make sure that drawing a green marble is more likely than not drawing a green marble, then he could remove _____ blue marble(s) from the bag.
See attachment for one such shell. The volume is given by the sum of infinitely many thin shells like this, each with radius and height determined by the vertical distance between the upper blue curve and the lower orange curve for any given , i.e. .
and height determined by the vertical distance between the upper blue curve and the lower orange curve for any given 
.