How do you make tree diagrams?
Three ordinary quarters and a fake quarter with two heads are placed in a hat. One quarter is selected at random and tossed twice. If the outcome is "HH," what is the probability that the fake quarter was selected? Pr(fake| HH) = (Type an integer or a simplified fraction.) H H ! Ordinary H T Fake H HAn unfair coin with Pr[H] = 0.2 is flipped. If the flip results in a head, a marble is selected at random from a urn containing three red and seven blue marbles. Otherwise, a marble is selected from a different urn containing three red and five blue marbles. If the selected marble selected is red, what is the probability that the flip resulted in a head? If necessary, round your answer to 4 decimal places.6.5.29-GI Question Help At a local college, four sections of economics are taught during the day and two sections are taught at night. 60 percent of the day sections are taught by full-time faculty. 35percent of the evening sections are taught by full-time faculty. If Jane has a part-time teacher for her economics course, what is the probability that she is taking a night class? The probability that she is taking a night class is | |. (Type an integer or a fraction.)A mouse is put into a T-maze. In this maze, he has the choice of turning to the left and being rewarded with cheese or turning to the right and receiving a mild shock. Before any conditioning takes place, the mouse is equally likely to go to the left or to the right. After the first trial, his decision is influenced by what happened on the previous trial. If he receives cheese on any trial, the probabilities of him going to the left or right become 0.88 and 0.12, respectively, on the following trial. If he receives the electric shock on any trial, the probabilities of him going to the left or right on the next trial become 0.67 and 0.33, respectively. What is the probability of the mouse turning right on the second trial? The probability of the mouse turning right on the second trial is (Type an integer or a decimal.)Companies A, B, and C produce 10%, 30%, and 60%, respectively, of the major appliances sold in a certain area. In that area, 4% of the company A appliances, 5% of the company B appliances, and 3% of the company C appliances need service within the first year. Suppose a defective appliance is chosen at random; find the probability that it was manufactured by Company B. The probability that it came from company B is (Type an integer or decimal rounded to four decimal places as needed.)The National Institute for Sports estimates that 9% of all college athletes use steroids. A new test correctly diagnoses the presence of steroids in 95% of athletes that have used steroids in the past 18 months. The test gives a positive result to 8% of athletes who do not use steroids. What is the probability an athlete uses steroids given that he has a negative result? Round your answer to 4 decimal places, if necessary
