Question: For each of the following scenarios, state the probability rule or rules that you apply and apply them to compute the probability. Show how your answers were derived.

1. The probability of event A is 0.224. What is the probability that event A does not occur?
2. A coin is tossed three times. The probability of zero heads is 1/8 and the probability of zero tails is 1/8. What is the probability that all three tosses result in all heads or all tails?
3. Refer to previous scenario (b). What is the probability that there is at least one head and at least 1 tail? Hint: it may be helpful to list all the possible outcomes; there 8 possible (2 ³ ) outcomes (the 2 is for heads and tails; the 3 is for the number of coin tosses). Then you’ll be able to count the number of outcomes containing at least 1 head and at least 1 tail.
4. The probability of event A is 0.5 and the probability of event B is 0.6. Events A and B are disjoint. Can this happen? Why or why not?
5. Event A is very rare. Its probability is -0.01. Can this happen? Why or why not?

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