(Solved): 1) In a civic organization there are 38 members: 15 are male and 23 are female. Three members are r ...

1) In a civic organization there are 38 members: 15 are male and 23 are female. Three members are randomly selected to be on a committee. a) What is the probability that the three selected are all male? b) What is the probability that the first person selected is male and the other two are female? c) What is the probability that at least one of the three is male? 2) A company makes ID cards with five letters followed by two numbers. The first letter must be an A, B, C, or D. There are no restrictions on the other letters or numbers, and all may be repeated. How many possible ID cards are there? 3) Clinical trials were done for an allergy drug called Seldane. One possible side-effect of the drug was thought to be headaches. The following table shows results from a clinical trial comparing people who took Seldane, and those who took a placebo (a fake drug). If one person in the trial is selected, what is the probability they took Seldane, given that they had a headache.