Practice+Test+3A

Practice+Test+3A - Practice Test 3A 1. Five cards are...

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Unformatted text preview: Practice Test 3A 1. Five cards are dealt. What is the probability that the fifth card is a heart given that the third car is a seven? 2. A deck of cards comes with two jokers (which have no suit and no rank). If they are added to the deck of 52 cards, what is the probability that the third card is a joker given that the first two cards are hearts? 3. A dies has two of its six sides painted red. What is the probability of rolling it three times and getting at least one red. 4. Amy will only go to the beach party if Bob also goes. The probability of Bob going is 80%. The probability of Amy going is 60%. What is the probability of either Amy or Bob going to the beach party? 5. Continuing with the above example, what is the probability of Amy going to the beach party given that Bob is not going? 6. Continuing with the above example, what is the probability of Amy going to the beach party given that Bob is going? 7. Four cards are dealt. What is the probability of dealing four aces? 8. Which method of assigning probabilities generally assumes all outcomes are equally likely? 9. When picking a card, is “a queen” an even or an outcome (elementary event)? Please explain. 10. Three cards are picked. What is the probability of not getting any aces? 11. LIghtbulbs are either working or have failed. If there are four lightbulbs in a room, what is the sample space? (Note: I am asking you to tell me what the sample space is. What its elementary events are. I am not asking you to merely tell me how many elementary events there are.) 12. If the event A and the event B are mutually exclusive, they are not independent. Explain why this is true. 13. There is a group of 100 people. 40 are men and 60 are women. Of the 100, 30 go to UCI, 20 go to UCLA, and 50 go to Berkeley. The person’s sex and school are independent. Sam randomly picks 11 people from the group of 100 people. On is from UCLA, five are from UCI, and five are from Berkeley. Sam is going to pick one more person. What is the probability that this person will be female? 14. Three cards are drawn from a deck. What is the probability of getting at least one black card? 15. A deck is shuffled well. What is the probability that the top card is a hear or the second card is a heart? 16. There is a string of ten lights. If one light fails, the whole string goes out. Over the five ­year span, the probability for any one light burning out is 5%. The lights burn out independently from each other. What is the probability that after 5 years, the string will still light up? 17. Two guys each hold a full deck of cards. One card is drawn from each deck. What is the probability that both guys will draw a spade? 18. Two events, A and B are mutually exclusive. What does P(A and B) equal? ...
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