TEST: Chapter 9 Question 1. Score: 4/4 In a lottery daily game, a player picks four numbers from 0 to 9 (without repetition). How many different choices does the player have a) If order matters? Correct5040 b) If order does not matter? Correct210 Score: 2/2 2/2 Question 2. Score: 4/4 Jenelle draws one from a standard deck of 52 cards. Determine the probability of drawing either a queen or a two? Write your answer as a reduced fraction. Answer = 2 13Correct 2 13 2 13 Determine the probability of drawing either a queen or a club? Write your answer as a reduced fraction. Answer = 4 13Correct 4 13 4 13 Score: 2/2 2/2 Question 3. Score: 2/4 A 6-sided die rolled twice. Let E E be the event "the first roll is a 4" and F F the event "the second roll is a 4". (a) Are the events E E and F F independent? Input Yes or No: CorrectYes (b) Find the probability of showing a 4 on both rolls. Write your answer as a reduced fraction. Answer: 1 9Incorrect 1 36 1 36 Score: 2/2 0/2 Question 4. Score: 4/4 3 letters are typed, with repetition allowed. What is the probability that all 3 will be vowels? Write your answer as a percent. Round to the nearest hundredth of a percent as needed. The probability is Correct0.71%. Score: 4/4 Question 5. Score: 0/4 A 3-digit PIN number is selected. What it the probability that there are no repeated digits? The probability that no numbers are repeated is Incorrect0.72. Write your answer in decimal form, rounded to the nearest thousandth. Score: 0/4 Question 6. Score: 0/2 You are taking a quiz that has 12 multiple-choice questions. If each question has 3 possible answers, how many different ways are there to answer the test? There are Incorrect531441 different ways to answer the test. Score: 0/2 Question 7. Score: 10/12 The table below shows the number of survey subjects who have received and not received a speeding ticket in the last year, and the color of their cars. Speeding Ticket No Speeding Ticket Total Red Car 103 174 277 Not Red Car 101 154 255 Total 204 328 532 Find the probability that a randomly chosen person: a) Has a red car. Correct0.521 b) Has a speeding ticket. Correct0.383 c) Has a speeding ticket given they have a red car. Correct0.372 d) Has a red car given they have a speeding ticket. Correct0.505 e) Has a red car and got a speeding ticket. Correct0.194 f) Has a red car or got a speeding ticket. Incorrect0.711 Write your answers in decimal form, rounded to the nearest thousandth. Score: 2/2 2/2 2/2 2/2 2/2 0/2 Question 8. Score: 4/4 Lacy draws a club from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card and gets a spade. Are these events independent? Input Yes or No: CorrectNo Determine the probability of drawing a club and then a spade without replacement. Write your answer in decimal form, rounded to four decimal places as needed. Answer = Correct0.0637 Linda draws a club from a standard deck of 52 cards. She returns the club to the deck, then draws a second card. Her second card is a spade. Are these events independent? Input Yes or No: CorrectYes Determine the probability of drawing a club and then a spade with replacement. Write your answer in decimal form, rounded to four decimal places as needed. Answer = Correct0.0625 Score: 1/1 1/1 1/1 1/1 Question 9. Score: 2/2 How many 3-letter passords can be made using the letters A thought Z if... a) Repetition of letters is allowed? Correct17576 b) Repetition of letters is not allowed? Correct15600 Score: 1/1 1/1 Question 10. Score: 10/10 A poker hand consists of five cards randomly dealt from a standard deck of 52 cards. The order of the cards does not matter. Determine the following probabilities for a 5-card poker hand. Write your answers in percent form, rounded to 4 decimal places. Determine the probability that exactly 4 of these cards are Aces. Answer: Correct0.0018% Determine the probability that all five of these cards are Spades. Answer: Correct0.0495% Determine the probability that exactly 4 of these cards are face cards. Answer: Correct0.7618% Determine the probability of selecting exactly 2 Aces and exactly 2 Kings Answer: Correct0.0609% Determine the probability of selecting exactly 1 Jack. Answer: Correct29.9474% Review Assessment Attempts Duah, Selina TEST: Chapter 8 Started: 9/24/21, 12:17 pm Last Changed: 10/4/21, 9:18 pm Total time questions were on-screen (all attempts): 460.4 minutes Due Date: Tue 10/5/21, 12:00 pm Originally Due: Mon 9/27/21, 11:59 pm. You were granted an extension. Score in Gradebook: 53/77 Grade is calculated on the best assessment attempt (Attempt 3) Attempt 3. Score: 53/77. Submitted 10/4/21, 9:18 pm Expand Question 1. Score: 4/4 Find the odds for rolling a 6-sided die and getting a 3. Correct1 to Correct5 Find the odds against rolling a 6-sided die and getting a 3. Correct5 to Correct1 Simplify your answers. Score: 1/1 1/1 1/1 1/1 Question 2. Score: 4/4 Suppose the probability of an event is 21 40 21 40 . What are the odds for the event happening? Correct21 to Correct19 What are the odds against the event happening? Correct19 to Correct21 Score: 1/1 1/1 1/1 1/1 Question 3. Score: 3/3 If you randomly select a card from a well-shuffled standard deck of 52 cards, determine the probability that the card you select is a 3. a) Write your answer as a reduced fraction. 1 13Correct 1 13 1 13 b) Write your answer as a decimal, rounded to the nearest thousandth. Correct0.077 c) Write your answer as a percent. Round to the nearest tenth of a percent as needed. Correct7.7% Score: 1/1 1/1 1/1 Question 4. Score: 3/4 A card is drawn randomly from a standard 52-card deck. Find the following: Write all answers as simplified fractions (not mixed numbers). Probability the card drawn is a face card 1 13Incorrect 3 13 3 13 Probability the card drawn is not a face card. 10 13Correct 10 13 10 13 Odds in favor of drawing a face card 3 10Correct 3 10 3 10 Odds against drawing a face card 10 3Correct 10 3 10 3 Question 6. Score: 3/3 A ball is drawn randomly from a jar that contains 2 red balls, 6 white balls, and 9 yellow balls. Find the probability of the given event. Write your answers as reduced fractions or whole numbers. (a) P P (A red ball is drawn) = 2 17Correct 2 17 2 17 (b) P P (The ball drawn is NOT red) = 15 17Correct 15 17 15 17 (c) P P (A green ball is drawn) = 0Correct 0 0 Score: 1/1 1/1 1/1 Question 7. Score: 0/10 If you randomly select a letter from the phrase "Sean wants to eat at Olive Garden," what is the probability that you select a consonant? (Your answer must be in the form of a reduced fraction.) P(consonant) = 12 27Incorrect 5 9 5 9 Score: 0/10 Question 8. Score: 10/10 Use the spinner below. P(greater than 12) = 0Correct Enter the probability as a reduced fraction. Score: 10/10 Question 9. Score: 1/5 The probability that event A A will occur is P ( A ) = P ( A ) = 0.8. What is the probability (in decimal form) that event A A will not occur? P ( A ) = P ( A ) = Correct0.2 What are the odds for event A A ? Incorrect4 to Incorrect1 What are the odds against event A A ? Incorrect to Incorrect4 Simplify your answers. Score: 1/1 0/1 0/1 0/1 0/1 Question 10. Score: 10/10 If the odds for a certain event are 11 to 29, what is the probability of the event occuring? Write your answer as a simplified fraction. 11 40Correct 11 40 11 40 Score: 10/10 Question 11. Score: 3/3 A company estimates that 0.6% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $500. If they offer a 2 year extended warranty for $73, what is the company's expected value of each warranty sold? $70Correct70 Score: 3/3 Question 12. Score: 3/3 A bag contains 3 gold marbles, 6 silver marbles, and 30 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $4. If it is silver, you win $3. If it is black, you lose $1. What is your expected value if you play this game? $0Correct0 Score: 3/3 Question 13. Score: 2/8 The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $2. There is 1 winning ticket out of the 130 tickets sold. The winner gets a prize worth $98. Round your answers to the nearest cent. What is the expected value (to you) of one raffle ticket? $Incorrect-1.25 Calculate the expected value (to you) if you purchase 12 raffle tickets. $Incorrect-15 What is the expected value (to the PTO) of one raffle ticket? $Correct1.25 If the PTO sells all 130 raffle tickets, how much money can they expect to raise for the classroom supplies? $Incorrect162.5 or 162 Score: 0/2 0/2 2/2 0/2 Question 14. Score: 2/5 Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 10 8 18 36 Female 11 3 7 21 Total 21 11 25 57 If one student was chosen at random, determine the following probabilities. Write your answers as reduced fractions. P P (Student was male) = 36 57Incorrect 12 19 12 19 P P (Student was female) = 21 57Incorrect 7 19 7 19 P P (Student was male and got an "A") = 10 57Correct 10 57 10 57 P P (Student was female and got a "B") = 3 57Incorrect 1 19 1 19 P P (Student got a "C") = 25 57Correct 25 57 25 57