Week 4 Homework Questions Probability
1. Which of the pairs of events below is dependent?
Select the correct answer below:
2. Identify the
... [Show More] option below that represents dependent events.
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3. Which of the following shows mutually exclusive events?
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4. Which of the pairs of events below is mutually exclusive?
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5. A deck of cards contains RED cards numbered 1,2,3,4,5,6, BLUE cards
numbered 1,2,3,4,5, and GREEN cards numbered 1,2,3,4. If a single card is picked at random, what is the probability that the card has an ODD number?
Select the correct answer below:
6. Hector is a baseball fan but wants to watch something different. There are 5 basketball
games, 2 football games, and 4hockey games that he can choose to watch. If Hector randomly chooses a game, what is the probability that it is a basketball game?
• Give your answer as a fraction.
7. There are 26 cards in a hat, each of them containing a different letter of the alphabet. If one
card is chosen at random, what is the probability that it is not between the letters L and P, inclusive?
8. A spinner contains the numbers 1 through 80. What is the probability that the spinner will land on a number that is not a multiple of 12?
• Give your answer in fraction form.
9. An art collector wants to purchase a new piece of art. She is interested in 5 paintings, 6 vases, and 2 statues. If she chooses the piece at random, what is the probability that she selects a
painting?
• Give your answer as a fraction.
10. Boris is taking a quiz for an online class. For the quiz, the system randomly assigns 2 high- difficulty questions, 7 moderate-difficulty questions, and 6 low-difficulty questions. What is
the probability that Boris is assigned a moderate-difficulty question first?
• Give your answer as a fraction.
11. A spinner contains the numbers 1 through 40. What is the probability that the spinner will land on a number that is not a multiple of 6? Give your answer as a fraction.
12. A spinner contains the numbers 1 through 50. What is the probability that the spinner will land on a number that is not a multiple of 4?
13. Identify the parameters p and n in the following binomial distribution scenario. The probability of winning an arcade game is 0.718 and the probability of losing is 0.282. If you play the arcade game 20 times, we want to know the probability of winning more than 15 times. (Consider winning as a success in the binomial distribution.)
14. A weighted coin has a 0.55 probability of landing on heads. If you toss the coin 14 times, what is the probability of getting heads exactly 9 times? (Round your answer to 3 decimal
places if necessary.) [Show Less]