please help with the following problems in probability. Thank you

e a O 'webassignml/wzb/Smdenl/AssignmermResponses/Iamdep:\"$781997 [ {5| A bag contains 9 red balls numbered 1, 2, 3, 4, 5/ 6, 7, B, 9 and 6 white balls numbered 10, 11, 12, 13, 14, 15. One ball is drawn from the bag. What is the probability that the ball is red, given that the ball is odd-numbered? (Enter your probability as a fraction.) |:| Need Help? _ _ (a) A box contains 6 red balls, 4 white balls, and 10 black balls. Two balls are drawn at random from the box (with replacement of the rst before the second is drawn). What is the probability of getting a red ball on the first draw and a white ball on the second? (Enter your probability as a fraction.) (b) Answer part (a) if the first ball is not replaced before the second is drawn. (Enter your probability as a fraction.) (c) Are the events in part (a) or in part (b) independent? Explain. Since the ball was replaced the events in part (a) are iselecti v . Not replacing the rst ball iSelecIW v the sample space thus the events in part (b) were iselectw v . Need Help? _ Two balls are drawn from a bag containing 6 white balls and 5 red balls. If the first ball is replaced before the second is drawn, what is the probability that the following will occur? (Enter your probabilities as fractions.) (a) both balls are red (b) both balls are white (c) the first ball is red and the second is white (d) one of the balls is black e a O lwebassignml/wzb/Smdenl/Assignmenresponses/Iamdep:\"$781997 [ {5| A box of 18 transistors has 4 defective ones. (Enter your probabilities as fractions.) (a) If 2 transistors are drawn from the box together, what is the probability that both transistors are defective? (b) If 2 transistors are drawn from the box together, what is the probability that neither transistor is defective? (c) If 2 transistors are drawn from the box together, what is the probability that one transistor is defective? Need Help? i Suppose that an employer plans to hire ve people from a group of thirteen equally qualified people, of whom three are minority candidates. If the employer does not know which candidates are minority candidates and ifshe selects her employees at random, what is the probability that the following is true? (Enter your probabilities as fractions.) (a) no minority candidates are hired (b) all three minority candidates are hired (c) one minority candidate is hired Need Help? i Seven men and eight women are semifinalists in a lottery. From this group, four nalists are to be selected by a drawing. What is the probability that all four finalists will be men? (Enter your probability as a fraction.) Need Help? _ __