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? [Q6-1] 2.  In how many ways can you obtain exactly one tail? [Q6-2] 3. Total number of possible outcomes? [Q6-3] 4. Now, you are ready to answer this problem question. [Q6-4]

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. [Q20-a] ​(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. [Q20-b] ​(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. [Q20-c] ​(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. [Q20-d] ​(Simplify your answer. Type an integer or a​ fraction.)