3. [-/1 Points] DETAILS MENDSTAT14 4.E.018. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You have three groups of distinctly different items, six in the first group, two in the second, and five in the third. If you select one item from each group, how many different triplets can you form? triplets 4. [-/1 Points] DETAILS MENDSTAT14 4.E.021.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In how many ways can you select five people from a group of nine if the order of selection is important? ways Need Help? Master It 5. [-/1 Points] DETAILS MENDSTAT14 4.E.022. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In how many ways can you select two people from a group of 16 if the order of selection is not important? waysA survey classified a large number of adults according to whether they were judged to need eyeglasses to correct their reading vision and whether they used eyeglasses when reading. The proportions falling into the four categories are shown in the table. (Note that a small proportion, 0.02, of adults used eyeglasses when in fact they were judged not to need them.) Used Eyeglasses for Reading Judged to Need Eyeglasses Yes No Yes 0.44 0.12 No 0.02 0.42 If a single adult is selected from this large group, find the probability of each event. (a) The adult is judged to need eyeglasses. (b) The adult needs eyeglasses for reading but does not use them. (c) The adult uses eyeglasses for reading whether he or she needs them or not.MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Your family vacation involves a cross-country air flight, a rental car, and a hotel stay in Boston. If you can choose from three major air carriers, four car rental agencies, and two major hotel chains, how many options are available for your vacation accommodations? options 7. [-/2 Points] DETAILS MENDSTAT14 4.E.031. MY NOTES ASK YOUR TEACHER Five cards are selected from a 52-card deck for a poker hand. (a) How many simple events are in the sample space? simple events (b) A royal flush is a hand that contains the A, K, Q, J, and 10, all in the same suit. How many ways are there to get a royal flush? ways (c) What is the probability of being dealt a royal flush? (Enter your probability as a fraction.) 8. [-/1 Points] DETAILS MENDSTAT14 4.E.038.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A student prepares for an exam by studying a list of 10 problems. She can solve 8 of them. For the exam, the instructor selects 7 questions at random from the list of 10. What is the probability that the student can solve all 7 problems on the exam? (Enter your probability as a fraction.) Need Help? Master ItMY NOTES ASK YOUR TEACHER PRACTICE A sample space S consists of five simple events with these probabilities. P(E,) = P(E2) = 0.15 P(E3) = 0.55 P (EA ) = 2P(E 5) (a) Find the probabilities for simple events E4 and E5. P(EA) = 0.1 P(E5) = 0.1 X (b) Find the probabilities for these two events. A = {E1, E3, E4} B = {E2, E3} P(A) = P(B) = (c) List the simple events that are either in event A or event B or both. (If there are no simple events, enter NONE.) (d) List the simple events that are in both event A and event B. (If there are no simple events, enter NONE.) Submit