Question

1. A fair coin is tossed 4 times, what is the probability that it lands on Heads each time?
2. You have just tossed a fair coin 4 times and it landed on Heads each time, if you toss that coin again, what is the probability that it will land on heads?
3. Give examples of two independent events.
4. Dependent events are (sometimes, always, never) (choose one) mutually exclusive.
5. If you were studying the effect that eating a healthy breakfast has on a child getting good grades in school, which of these probabilities would be much more relevant for you to know.

a) P( High grades/Healthy breakfast) or b) P(Healthy breakfast/High Grades)

                  f) 65 % of a firms employees are Female.. 42% of the firms employees are Female office workers. What percentage of the the females who work in the firm are office workers?                         

Answer 1

The basic thing to note here is the definition of independence : If the occurence of one event doesn't affect the probability of the other, then those two events are said to be independent.