**Unformatted text preview: **Practice Test 3B 1. For the below, identify whether it is an outcome (elementary event) or an event (compound or composite event). a. Picking a Jack from a deck of cards b. Rolling a die and getting a three c. Flipping a coin twice and getting a Head and then a Tail 2. Four girls pick four cards (without replacement). What is the probability that all four cards are queens? 3. Continue with above example. What is the probability (without replacement) that all are spades? 4. You roll a die six times. What is the probability of getting each number on the die? (hint: This question may take a little bit of thought although it is not very complex. Try not to think about the probability of getting actual numbers on the die, but rather numbers that you haven’t already gotten.) 5. You left your car light on for part of the night; the probability that your car will start is 79.6%. You also got a nail stuck in your bike tire, the probability that it wont be flat is 25.7%. These probabilities are independent. You need to get to work and these are your only two modes of transportation. What is the probability that you will not get to work? 6. Is it possible to use the analytic view to assign probabilities to the roll of a die? Please explain why or why not. 7. Are A and B independent? 8. True or False: If something is not mutually exclusively, it is therefore independent. Please explain. 9. Two cards are dealt. What is the probability of not getting any diamonds? 10. While hiking on San Miguel Island, it is possible to see six different species of pinniped (California sea lions, northern fur seals, northern elephant seals, harbor seals, and less frequently, Guadalupe fur seals and Stellar sea lions) but we will concern ourselves with only two species. Northern fur seal and California sea lion. While on the island, there is a 60% chance of seeing a California sea lion while there is only 20% chance of seeing a northern fur seal. There is a 15% chance of seeing both a California sea lion and a northern fur seal. What is the probability of seeing either a northern fur seal or a sea lion? 11. You flip a coin five times. What is the probability of getting some heads and some tails? 12. There are five red and five blue marbles in a box. Marbles are drawn without replacement. What is the probability that the third marble is blue given that the first two are red? 13. Three cards are dealt. What is the probability of getting at least one king? 14. Two cards are dealt. What is the probability that the first is an ace and the second is a king? 15. The probability that one has been to Antarctica given that one is a traveler is .05. The probability that one has not been to Antarctica given that one is not a traveler is .999. The probability that one is a traveler is .10. What is the probability that one is not a traveler given that one has been to Antarctica? 16. You are going to roll a die. The events are as follows: Events A: A die comes up even. Event B: a die comes up greater than or equal to four. Are Events A and B mutually exclusive? Please explain. 17. Continuing with the above example. Are the events independent? Please explain and how you know this. 18. When two events are mutually exclusive the probability of A or B equals the probability of A plus the probability of B. Why can we forget subtracting the probability of A and B? ...

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- Fall '10
- RajendraM.Patel
- 15%, 20%, 60%, 79.6%, 25.7%