1.Five policemen and five thieves stand in a line for a picture. What is the probability that all the policemen stand together while the thieves DO NOT ALL stand together? Answer should be a common fraction.
2. An unfair coin shows heads 2/3 of the time. What is the probability that it shows heads exactly five out of seven flips? Answer should be a common fraction.
3.Ricky has a dumpling five-shooter with one dumpling in one of the five chambers. He spins it and fires, repeating this two-step process until he gets the dumpling to come out. What is the probability that he gets the dumpling to come out on the 2nd or 4th shot? Answer should be a common fraction