Please answer number 26. Make sure to show work!! Do all parts! Thx! 12. Counting: Outcomes You toss a pair of dice.(a) Determine the number of possible pairs of outcomes. (Recall that thereare six possible outcomes for each die.)(b) There are three even numbers on each die. How many outcomes are pos-sible with even numbers appearing on each die?(c) Probability Extension What is the probability that both dice will show aneven number?13. | Compute P5.214. | Compute P15. | Compute P16. Compute P21.9,9*17. | Compute C5.2²18. | Compute C8.3.19. | Compute C₁.720. | Compute C8Counting: Hiring There are three nursing positions to be filled at LillyHospital. Position 1 is the day nursing supervisor, position 2 is the night nurs-ing supervisor, and position 3 is the nursing coordinator position. There are15 candidates qualified for all three of the positions. Determine the number ofdifferent ways the positions can be filled by these applicants.22. Counting: Lottery In the Cash Now lottery game there are 10 finalists whosubmitted entry tickets on time. From these 10 tickets, three grand prize win-ners will be drawn. The first prize is $1 million, the second prize is $100,000,and the third prize is $10,000. Determine the total number of different ways inwhich the winners can be drawn. (Assume that the tickets are not replaced afterthey are drawn.)23. Counting: Sports The University of Montana ski team has five entrantsin a men's downhill ski event. The coach would like the first, second, andthird places to go to the team members. In how many ways can the five teamentrants achieve first, second, and third places?24. Counting: Sales During the Computer Daze special promotion, a customerpurchasing a computer and printer is given a choice of 3 free software pack-ages. There are 10 different software packages from which to select. Howmany different groups of software packages can be selected?25. Counting: Hiring There are 15 qualified applicants for 5 trainee positions ina fast-food management program. How many different groups of trainees canbe selected?26. Counting: Grading One professor grades homework by randomly choosing5 out of 12 homework problems to grade.(a) How many different groups of 5 problems can be chosen from the12 problems?(b) Probability Extension Jerry did only 5 problems of one assignment. Whatis the probability that the problems he did comprised the group that wasselected to be graded?

Question

Accepted Answer

One professor grades homework by randomly choosing 5 out of 12 homework problem to grade.n=12r=5