please help me to solve those. please be advice nIeed all of them to be answered correctly. please make sure that everything is in the proper answer form. be careful with decimals. thanks

A history class is comprised of 6 female and 5 male students. If the instructor of the class randomly chooses 5 studenis from the class for an oral exam, what is the probability that 3 female students and 2 male students will be selected? Round your answer to 3 decimal places. (If necessary, consult a list of formulas.) The Venn diagram below shows the 14 students in Ms. Davis's class. The diagram shows the memberships for the Chess Club and the Science Club. Science A student from the class is randomly selected. LetA denote the event "the student is in the Chess Club." Let B denote the event "the student is in the Science Club." The outcomes for the eventA are listed in the circle on the left. The outcomes for the event 3 are listed in the circle on the right. Note that Felipe is outside the circles since he is not a member of either club. Answer each part below. If necessary, consult a list of formulas. (a) Find the probabilities of the events below. Write each answer as a single fraction. P(A)=u Poem P(A and B) =[| P(A |B)=|:| Poo-Po IB)=D ('3) Select the probability that is equal to P(A and B). O 13(3)? (A I3) 0 P (A) 0 PM l3) 0 P (B) On a particular day, a restaurant that is open for lunch and dinner had 113 customers. Each customer came in for one meal. An employee recorded at which meal each customer came in and whether the customer ordered dessert. The data are summarized in the table below. @ Suppose a customer from that day is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (If necessary, consult a list of formulas.) (a) What is the probability that the customer came for lunch? D (b) What is the probability that the customer came for lunch or did not order dessert? D 8 (a) Miguel is playing a game on his smartphone. He will choose an image to see if he gets bonus points. The probability of getting bonus points is 19 ' Find the odds in favor of getting bonus points. 11 (b) The manager of a restaurant determined that the odds against a customer ordering dessert are 7. What is the probability of a customer ordering dessert