If you toss 8 fair​ coins, in how many ways can you obtain a…

If you toss 8 fair​ coins, in how many ways can you obtain at least two tails​? Follow steps below. ​(“At least​ two” is the complement of​ “zero or​ one.”)    1.  In how many ways can you obtain exactly zero tails? 2.  In how many ways can you obtain exactly one tail? 3. Total number of possible outcomes? 4. Now, you are ready to answer this problem question.

One hundred college seniors attending a career fair at a uni…

One hundred college seniors attending a career fair at a university were categorized according to gender and according to primary career motivation. The following table shows the results. (a) If one of these students is to be selected at​ random, find the probability that the student selected is motivated primarily by money or creativity​, given that the student is male. ​(Simplify your answer. Type an integer or a​ fraction.) (b) If one of these students is to be selected at​ random, find the probability that the student selected is a male,  given that the student is motivated primarily by money or creativity. ​(Simplify your answer. Type an integer or a​ fraction.) (c) If one of these students is to be selected at​ random, find the probability that the student selected is motivated primarily  by creativity or a female. ​(Simplify your answer. Type an integer or a​ fraction.) (d) If one of these students is to be selected at​ random, find the probability that the student selected is motivated primarily  by creativity and a female. ​(Simplify your answer. Type an integer or a​ fraction.)