Show work

. . ...from the definition of probably a 6. A company that produces fine crystal knows from experience that 10% of its goblets have cosmetic flaws and must be classified as "seconds". a) Among six randomly selected goblets, how likely is it that only one is a "second"? b) What is the expected value (mathematical expectation) of the number of "seconds" among six randomly selected goblets? c) Among six randomly selected goblets, what is the probability that at least two are "seconds"? d) If goblets are selected one by one, what is the probability that at most five must be selected in order to find four that are not "seconds"? 7. Three card players play a series of matches. The probability that player A will win any game is 20%, the probability that player B will win is 30%, and the probability player C will win is 50%. If they play 6 games, what is the probability that player A will win 1 game, player B will win 2 games, and player C will win 3