7:00 Classwork 3.1 to 3... Q FT Math 159 Classwork 3.1 and 3.2 Name: 1) A card player randomly selects one card out of a well-shuffled standard deck of 52 cards. What is the sample space? What is the set of successful outcome A of selecting a diamond? Select one answer below. a) Sample space is the set of all 52 cards, A is all the diamond cards in the deck. b) Sample space is all the diamond cards in the deck. A is the one diamond card being selected. c) Sample space is the set of all 52 cards, A is the one diamond card being selected. 2) Circle all valid probability values: 0, 1.8, -0.5, 135%, 0.009, 0.5999, 3) In a jar of 150 jellybean containing 22 red jellybean, 38 yellow, 20 green, 28 purple, 26 blue and the rest are orange. If one jellybean is randomly selected, find the following. Answer in decimal, round to 3 decimal places. a) Find P(blue) b) Find P(red or blue) c) Find P(not blue) d) Find P(orange) 4) Use the spinner below to estimate the probability, write in reduced fraction. a) P(7 or 9) b) P(not 1) 5) card is drawn randomly from a standard 52-card deck. Find the probabilities of the given events. Give answer in reduced fractions. a) The card drawn is 5. b) The card drawn is black and 5. c) The card drawn is 5 or 6. d) The card drawn is 5 and 6. e) The card is 5 given that it is a Heart. f) The card drawn is 5 given that it is a red card. 6) A geneticist conducts an experiment with flowers, one sample consisted of 483 pink flowers and 164 yellow flowers. Estimate the probability of getting a flower that is yellow. Round to 3 decimal places. 7) A group of people were asked if they had "text and drive" last year. 367 responded "yes" and 129 responded "no". Find the probability that if a person is chosen at random, they had "text and drive" last year. Round to 1 decimal place of a percent. P (Yes "Text and drive") = % 8) A survey shows that 30% of students take public transit to school. If one student is selected, a) P (student takes public transit) b) P (student does not take public transit) 9) Which of the following is an unlikely event? (Use default 5% rule for unlikely.) a) 10% chance of snow. b) Winning a raffle when there are 78 prizes out of 1500 tickets. c) Selecting one winner out of 34 participants. e) Selecting a red card in a standard deck. 10) Result from drug test of job applicants are given: Round to 3 decimal places. a) Find the probability that someone get a false positive result. Positive Negative Test Test OF 9 3 O= Dashboard Calendar To Do Notifications Inbox7:00 K Classwork 3.1 to 3... Q FT 7) A group of people were asked if they had "text and drive" last year. 367 responded "yes" and 129 responded "no". Find the probability that if a person is chosen at random, they had "text and drive" last year. Round to 1 decimal place of a percent. P (Yes "Text and drive") = % 8) A survey shows that 30% of students take public transit to school. If one student is selected, a) P (student takes public transit) b) P (student does not take public transit) 9) Which of the following is an unlikely event? (Use default 5% rule for unlikely.) a) 10% chance of snow. b) Winning a raffle when there are 78 prizes out of 1500 tickets. c) Selecting one winner out of 34 participants. e) Selecting a red card in a standard deck. 10) Result from drug test of job applicants are given: Round to 3 decimal places. a) Find the probability that someone get a false positive result. Positive Negative Test Test b) Find the probability that someone get a false negative result. Subject result result Use drugs 45 Does not 25 480 c) Who suffer from false positive result? (Job seeker or employer) use drugs d) Who suffer from false negative result? (Job seeker or employer) 1 1) Results from a survey about preferred sports and genders are recorded below: If one student is randomly selected. Round all probabilities to 3 decimal places. Baseball Football Basketball a) Find P(prefer Football) Female 33 12 10 Male 25 30 19 b) Find P(female) c) Find P(female and prefer Football) d) Is Female and Football mutually exclusive? e) Find P(Female or prefer Football) () Find P(prefer Football given that student is female) g) Is P(prefer football) the same probability as P( prefer football given that student is female)? h) Use the result to conclude if prefer football and female are independent. Explain. 12) A test was given to a sample of students, gender and grade are summarized as below. If one student is randomly selected. Round all probabilities to 3 decimal places. 9 OF 3 Dashboard Calendar To Do Notifications Inbox7:00 Classwork 3.1 to 3... Q FT e) Find P(Female or prefer Football) f) Find P(prefer Football given that student is female) g) Is P(prefer football) the same probability as P( prefer football given that student is female)? h) Use the result to conclude if prefer football and female are independent. Explain. 12) A test was given to a sample of students, gender and grade are summarized as below. If one student is randomly selected. Round all probabilities to 3 decimal places. A B C Total a) Find P(Female) Male 5 17 2 24 Female 12 13 19 44 Total 17 30 21 68 b) Find P(Grade A) c) Find P(Female and Grade A) d) Is it ture that P( Female and Grade A) = P( Female) x P(Grade A) ? e) Use the result in d) to conclude if Female and Grade A are independent? 9 3 O= Dashboard Calendar To Do Notifications Inbox