Outcomes and Outcome Spaces

For the experiments defined in Questions 1-4, write the set of all possible outcomes (the outcome space), also note whether the outcomes are equally likely, and whether they are mutually exclusive.

1. Toss a coin three times and record heads or tails on each toss.

2. Assuming that automobile accidents occur randomly, record the number of accidents in NYC on the day you complete this homework.

3. For a randomly selected adult male, record his height to the nearest inch.

4. Inject a drug into 5 randomly selected diseased mice.  At the end of one week, record the number cured out of 5.

5. How many outcomes are in an experiment consisting of one toss of a coin? Two tosses? N tosses?  (Assume H or T is recorded for each toss.)

6. For Question 3 above, write the list of outcomes in the following events:

A = (the selectee is less than 6' tall)

B=(the selectee is between 5 ' and 6'5" tall, inclusive)

7. For Question 4 above, write the list of outcomes in each event:

A=(all mice are cured)

B=(more than half the mice are cured)

C=(an even number of mice are cured)

8. For Question 1 above, write the outcomes in the following events:

A=(all tosses show the same face)

B=(at least one toss is heads)

C=(at most one toss is heads)

9. Calculate the probability of each event in Problem 8.