T-maze In a T-maze a mouse may turn to the right (R) and receive a mild shock, or to the

Chapter 8, Problem 15

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T-maze In a T-maze a mouse may turn to the right (R) and receive a mild shock, or to the left (L) and get a piece of cheese. Its behavior in making such choices is studied by psychologists. Suppose a mouse runs a T-maze 3 times. List the set of all possible outcomes and assign valid probabilities to each outcome under the assumption that the first two times the maze is run the mouse chooses equally between left and right, but on the third run, the mouse is twice as likely to choose cheese. Assume the mouse has no memory so the trials are independent. Find the probability of each of the events listed. (a) E: Run to the right exactly 2 consecutive times. (b) F: Never run to the right. (c) G: Run to the left on the first trial. (d) H: Run to the right on the second trial.