Question 1: Suppose an ATM PIN must consist of 4 numbers from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, with repeats allowed. For example, an acceptable PIN could be 9551. • How many possible ATM PINs are possible? • If someone had one attempt to guess an ATM PIN, what is the probability they would guess correctly with one attempt? Question 2: The U. S. Coast Guard maintains a database of the number, source, and location of oil spills in the U. S. navigable and territorial waters. The following is a probability distribution for location of oil spill events.
Location Probability
Atlantic Ocean 0.008
Pacific Ocean 0.037
Gulf of Mexico 0.233
Great Lakes 0.020
Other Lakes 0.002
Rivers and Canals 0.366
Bays and Sounds 0.146
Harbors 0.161
Others 0.027
If an oil spill is selected at random from the database, what is the probability:
• The oil spill occurred in an ocean?
• The oil spill occurred in a lake or harbor?
• The oil spill did not occur in a lake, ocean, river, or canal?
Question 3
Suppose you flip a coin three times in a row and record your result. For example, flipping heads three times in a row would be the result ‘HHH.’
• Is this a probability experiment? If so, what are the two criteria it meets?
• What is the sample space for this experiment?
• What is the probability of getting exactly two heads in three flips?