1 3. [-14 Points] DETAILS BBUNDERSTAT1O 4.3.026. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER One professor grades homework by randomly choosing 6 out of 12 homework problems to grade. (a) How many different groups of 6 problems can be chosen from the 12 problems? groups B (b) Probability extension: Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded? (Round your answer to four decimal places.) D (c) Silvia did 8 problems. How many different groups of 6 did she complete? groups B What is the probability that one of the groups of 6 she completed comprised the group selected to be graded? (Round your answer to four decimal places.)