Suppose you toss three fair coins as described in Exercise 11.3.9. (If you haven’t written out the sample space as described in Exercise 11.3.9, you should do that before answering the following questions.) 

a. What is the probability of tossing all heads given at least one is heads? 

b. What is the probability of tossing all heads given the first toss is a head? 

c. What is the probability of tossing all heads given at least two are heads? 

d. What is the probability of tossing all heads given the first two tosses are heads?

Data from Exercise 11.3.9.

Suppose you toss three fair coins. 

What is the sample space? is one of the events in the sample space and there are a total of 8 events.) 

All eight events you listed in part (a) are equally likely to occur if you are flipping fair coins. 

What is the probability of tossing at least one tail? 

What is the probability of tossing at least one tail given the first toss is heads? 

What is the probability the first toss is heads given you have at least one tail?